137928000 has 224 divisors, whose sum is σ = 521134848. Its totient is φ = 31488000.

The previous prime is 137927981. The next prime is 137928013. The reversal of 137928000 is 829731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167590 + ... + 168410.

Almost surely, 2^137928000 is an apocalyptic number.

137928000 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 137928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260567424).

137928000 is an abundant number, since it is smaller than the sum of its proper divisors (383206848).

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

137928000 is an equidigital number, since it uses as much as digits as its factorization.

137928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 137928000 is about 11744.2752011352. The cubic root of 137928000 is about 516.6750374410.

The spelling of 137928000 in words is "one hundred thirty-seven million, nine hundred twenty-eight thousand".