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149127456 = 25359113233
BaseRepresentation
bin10001110001110…
…00000100100000
3101101121110102010
420320320010200
5301134034311
622444152520
73460363632
oct1070700440
9341543363
10149127456
11771a6735
1241b38740
1324b849ca
1415b3ca52
15d15ada6
hex8e38120

149127456 has 96 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 48226304.

The previous prime is 149127439. The next prime is 149127457. The reversal of 149127456 is 654721941.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (149127457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639916 + ... + 640148.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2149127456 is an apocalyptic number.

149127456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149127456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

149127456 is an abundant number, since it is smaller than the sum of its proper divisors (254213664).

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

149127456 is a wasteful number, since it uses less digits than its factorization.

149127456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 149127456 is about 12211.7753009135. The cubic root of 149127456 is about 530.2970400897.

The spelling of 149127456 in words is "one hundred forty-nine million, one hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 113 118 177 226 233 236 339 354 452 466 472 678 699 708 904 932 944 1356 1398 1416 1808 1864 1888 2712 2796 2832 3616 3728 5424 5592 5664 6667 7456 10848 11184 13334 13747 20001 22368 26329 26668 27494 40002 41241 52658 53336 54988 78987 80004 82482 105316 106672 109976 157974 160008 164964 210632 213344 219952 315948 320016 329928 421264 439904 631896 640032 659856 842528 1263792 1319712 1553411 2527584 3106822 4660233 6213644 9320466 12427288 18640932 24854576 37281864 49709152 74563728 149127456