137327256000 has 672 divisors, whose sum is σ = 540706885056. Its totient is φ = 33268224000.

The previous prime is 137327255981. The next prime is 137327256013. The reversal of 137327256000 is 652723731.

137327256000 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 27 + 25 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95831284 + ... + 95832716.

Almost surely, 2^137327256000 is an apocalyptic number.

137327256000 is a gapful number since it is divisible by the number (10) 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 137327256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270353442528).

137327256000 is an abundant number, since it is smaller than the sum of its proper divisors (403379629056).

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

137327256000 is a wasteful number, since it uses less digits than its factorization.

137327256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 137327256000 its reverse (652723731), we get a palindrome (137979979731).

The spelling of 137327256000 in words is "one hundred thirty-seven billion, three hundred twenty-seven million, two hundred fifty-six thousand".