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148937616 = 24361132
BaseRepresentation
bin10001110000010…
…01101110010000
3101101020211000000
420320021232100
5301112000431
622440130000
73455643312
oct1070115620
9341224000
10148937616
1177087043
1241a66900
1324b19489
1415acd7b2
15d11e9e6
hex8e09b90

148937616 has 105 divisors (see below), whose sum is σ = 436514689. Its totient is φ = 49206528.

The previous prime is 148937611. The next prime is 148937669. The reversal of 148937616 is 616739841.

It is a happy number.

The square root of 148937616 is 12204.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2624400 + 146313216 = 1620^2 + 12096^2 .

It is a super-3 number, since 3×1489376163 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (217728) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (148937611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1317976 + ... + 1318088.

Almost surely, 2148937616 is an apocalyptic number.

148937616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

148937616 is the 12204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148937616

148937616 is an abundant number, since it is smaller than the sum of its proper divisors (287577073).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148937616 is an frugal number, since it uses more digits than its factorization.

148937616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 118 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The cubic root of 148937616 is about 530.0719209388.

The spelling of 148937616 in words is "one hundred forty-eight million, nine hundred thirty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 729 904 972 1017 1296 1356 1458 1808 1944 2034 2712 2916 3051 3888 4068 5424 5832 6102 8136 9153 11664 12204 12769 16272 18306 24408 25538 27459 36612 38307 48816 51076 54918 73224 76614 82377 102152 109836 114921 146448 153228 164754 204304 219672 229842 306456 329508 344763 439344 459684 612912 659016 689526 919368 1034289 1318032 1379052 1838736 2068578 2758104 3102867 4137156 5516208 6205734 8274312 9308601 12411468 16548624 18617202 24822936 37234404 49645872 74468808 148937616