137037263328 has 144 divisors (see below), whose sum is σ = 446226109056. Its totient is φ = 39078339840.

The previous prime is 137037263299. The next prime is 137037263339. The reversal of 137037263328 is 823362730731.

137037263328 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 3 + 7 + 2 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×137037263328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989383 + ... + 1119353.

It is an arithmetic number, because the mean of its divisors is an integer number (3098792424).

Almost surely, 2^137037263328 is an apocalyptic number.

137037263328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137037263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223113054528).

137037263328 is an abundant number, since it is smaller than the sum of its proper divisors (309188845728).

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

137037263328 is a wasteful number, since it uses less digits than its factorization.

137037263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130517 (or 130506 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 137037263328 in words is "one hundred thirty-seven billion, thirty-seven million, two hundred sixty-three thousand, three hundred twenty-eight".