137290889358 has 256 divisors, whose sum is σ = 373834137600. Its totient is φ = 36477060480.

The previous prime is 137290889327. The next prime is 137290889401. The reversal of 137290889358 is 853988092731.

137290889358 is a `hidden beast` number, since 137 + 290 + 88 + 93 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 137290889295 and 137290889304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156545616 + ... + 156546492.

It is an arithmetic number, because the mean of its divisors is an integer number (1460289600).

Almost surely, 2^137290889358 is an apocalyptic number.

137290889358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137290889358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186917068800).

137290889358 is an abundant number, since it is smaller than the sum of its proper divisors (236543248242).

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

137290889358 is a wasteful number, since it uses less digits than its factorization.

137290889358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 137290889358 in words is "one hundred thirty-seven billion, two hundred ninety million, eight hundred eighty-nine thousand, three hundred fifty-eight".