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137326480 = 2454736523
BaseRepresentation
bin10000010111101…
…10111110010000
3100120101220111221
420023312332100
5240123421410
621343214424
73255153514
oct1013667620
9316356457
10137326480
1170576465
1239ba7414
13225b2495
141434a144
15c0c94da
hex82f6f90

137326480 has 40 divisors (see below), whose sum is σ = 326086272. Its totient is φ = 53760384.

The previous prime is 137326457. The next prime is 137326529. The reversal of 137326480 is 84623731.

It is a happy number.

137326480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14502 + ... + 22021.

Almost surely, 2137326480 is an apocalyptic number.

137326480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137326480 is an abundant number, since it is smaller than the sum of its proper divisors (188759792).

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

137326480 is a wasteful number, since it uses less digits than its factorization.

137326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36583 (or 36577 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 137326480 is about 11718.6381461329. The cubic root of 137326480 is about 515.9228496716.

The spelling of 137326480 in words is "one hundred thirty-seven million, three hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 36523 73046 146092 182615 292184 365230 584368 730460 1460920 1716581 2921840 3433162 6866324 8582905 13732648 17165810 27465296 34331620 68663240 137326480