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137355031 = 1154123081
BaseRepresentation
bin10000010111111…
…01111100010111
3100120110100200101
420023331330113
5240130330111
621343554531
73255332662
oct1013757427
9316410611
10137355031
1170595960
1239bbba47
13225c2488
14143566d9
15c0d2bc1
hex82fdf17

137355031 has 8 divisors (see below), whose sum is σ = 150125328. Its totient is φ = 124632000.

The previous prime is 137355013. The next prime is 137355037. The reversal of 137355031 is 130553731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137355031 - 25 = 137354999 is a prime.

It is a super-2 number, since 2×1373550312 = 37732809082021922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137355037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5590 + ... + 17491.

It is an arithmetic number, because the mean of its divisors is an integer number (18765666).

Almost surely, 2137355031 is an apocalyptic number.

137355031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137355031 is a deficient number, since it is larger than the sum of its proper divisors (12770297).

137355031 is a wasteful number, since it uses less digits than its factorization.

137355031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23633.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 137355031 is about 11719.8562704497. The cubic root of 137355031 is about 515.9586016804.

The spelling of 137355031 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, thirty-one".

Divisors: 1 11 541 5951 23081 253891 12486821 137355031