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148137552 = 24331372503
BaseRepresentation
bin10001101010001…
…10011001010000
3101022202011112000
420311012121100
5300410400202
622411034000
73446101623
oct1065063120
9338664460
10148137552
117668aa32
124173b900
13248c9274
1415961dba
15d01291c
hex8d46650

148137552 has 80 divisors (see below), whose sum is σ = 428484480. Its totient is φ = 48999168.

The previous prime is 148137533. The next prime is 148137559. The reversal of 148137552 is 255731841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148137559) 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 15 ways as a sum of consecutive naturals, for example, 57933 + ... + 60435.

It is an arithmetic number, because the mean of its divisors is an integer number (5356056).

Almost surely, 2148137552 is an apocalyptic number.

148137552 is a gapful number since it is divisible by the number (12) 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 148137552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214242240).

148137552 is an abundant number, since it is smaller than the sum of its proper divisors (280346928).

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

148137552 is a wasteful number, since it uses less digits than its factorization.

148137552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2645 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 148137552 is about 12171.1771000179. The cubic root of 148137552 is about 529.1210684361.

The spelling of 148137552 in words is "one hundred forty-eight million, one hundred thirty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 1096 1233 1644 2192 2466 2503 3288 3699 4932 5006 6576 7398 7509 9864 10012 14796 15018 19728 20024 22527 29592 30036 40048 45054 59184 60072 67581 90108 120144 135162 180216 270324 342911 360432 540648 685822 1028733 1081296 1371644 2057466 2743288 3086199 4114932 5486576 6172398 8229864 9258597 12344796 16459728 18517194 24689592 37034388 49379184 74068776 148137552