137034088296336 has 2025 divisors, whose sum is σ = 524891987327169. Its totient is φ = 34388003865600.

The previous prime is 137034088296257. The next prime is 137034088296359. The reversal of 137034088296336 is 633692880430731.

The square root of 137034088296336 is 11706156.

It is a perfect power (a square), and thus also a powerful number.

137034088296336 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 3 + 4 + 0 + 8 + 8 + 296 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6603070286736 + 130431018009600 = 2569644^2 + 11420640^2 .

It is a super-2 number, since 2×137034088296336² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1330428041661 + ... + 1330428041763.

Almost surely, 2^{137034088296336} is an apocalyptic number.

137034088296336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137034088296336 is the 11706156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137034088296336

137034088296336 is an abundant number, since it is smaller than the sum of its proper divisors (387857899030833).

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

137034088296336 is a wasteful number, since it uses less digits than its factorization.

137034088296336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 137034088296336 in words is "one hundred thirty-seven trillion, thirty-four billion, eighty-eight million, two hundred ninety-six thousand, three hundred thirty-six".