137088000 has 528 divisors, whose sum is σ = 597789504. Its totient is φ = 29491200.

The previous prime is 137087971. The next prime is 137088011. The reversal of 137088000 is 880731.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063992 + ... + 8064008.

Almost surely, 2^137088000 is an apocalyptic number.

137088000 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 137088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298894752).

137088000 is an abundant number, since it is smaller than the sum of its proper divisors (460701504).

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

137088000 is a wasteful number, since it uses less digits than its factorization.

137088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 137088000 is about 11708.4584809444. The cubic root of 137088000 is about 515.6240275464.

The spelling of 137088000 in words is "one hundred thirty-seven million, eighty-eight thousand".