137558370690 has 224 divisors, whose sum is σ = 401387374080. Its totient is φ = 33725662848.

The previous prime is 137558370683. The next prime is 137558370757. The reversal of 137558370690 is 96073855731.

137558370690 is a `hidden beast` number, since 13 + 7 + 558 + 3 + 70 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×137558370690² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24921751 + ... + 24927269.

It is an arithmetic number, because the mean of its divisors is an integer number (1791907920).

Almost surely, 2^137558370690 is an apocalyptic number.

137558370690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137558370690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200693687040).

137558370690 is an abundant number, since it is smaller than the sum of its proper divisors (263829003390).

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

137558370690 is a wasteful number, since it uses less digits than its factorization.

137558370690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 137558370690 in words is "one hundred thirty-seven billion, five hundred fifty-eight million, three hundred seventy thousand, six hundred ninety".