137758956 has 48 divisors (see below), whose sum is σ = 341488224. Its totient is φ = 43073536.

The previous prime is 137758913. The next prime is 137758967. The reversal of 137758956 is 659857731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 137758899 and 137758908.

It is an unprimeable number.

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, 71056 + ... + 72968.

It is an arithmetic number, because the mean of its divisors is an integer number (7114338).

Almost surely, 2^137758956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137758956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170744112).

137758956 is an abundant number, since it is smaller than the sum of its proper divisors (203729268).

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

137758956 is a wasteful number, since it uses less digits than its factorization.

137758956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2288 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 51.

The square root of 137758956 is about 11737.0761265317. The cubic root of 137758956 is about 516.4638728699.

The spelling of 137758956 in words is "one hundred thirty-seven million, seven hundred fifty-eight thousand, nine hundred fifty-six".