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137472552 = 2334730307
BaseRepresentation
bin10000011000110…
…10101000101000
3100120200022220000
420030122220220
5240143110202
621350303000
73256332420
oct1014325050
9316608800
10137472552
1170666188
123a057a60
1322633b09
1414387480
15c10791c
hex831aa28

137472552 has 80 divisors (see below), whose sum is σ = 440072160. Its totient is φ = 39276576.

The previous prime is 137472551. The next prime is 137472553. The reversal of 137472552 is 255274731.

137472552 is a `hidden beast` number, since 1 + 37 + 4 + 72 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (137472551) and next prime (137472553).

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

It is not an unprimeable number, because it can be changed into a prime (137472551) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10618 + ... + 19689.

It is an arithmetic number, because the mean of its divisors is an integer number (5500902).

Almost surely, 2137472552 is an apocalyptic number.

137472552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137472552 is an abundant number, since it is smaller than the sum of its proper divisors (302599608).

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

137472552 is a wasteful number, since it uses less digits than its factorization.

137472552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30332 (or 30319 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 137472552 is about 11724.8689544916. The cubic root of 137472552 is about 516.1057111704.

The spelling of 137472552 in words is "one hundred thirty-seven million, four hundred seventy-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 30307 60614 90921 121228 181842 212149 242456 272763 363684 424298 545526 636447 727368 818289 848596 1091052 1272894 1636578 1697192 1909341 2182104 2454867 2545788 3273156 3818682 4909734 5091576 5728023 6546312 7637364 9819468 11456046 15274728 17184069 19638936 22912092 34368138 45824184 68736276 137472552