137875000 has 56 divisors (see below), whose sum is σ = 323433360. Its totient is φ = 55100000.

The previous prime is 137874983. The next prime is 137875007. The reversal of 137875000 is 578731.

137875000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137875007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124449 + ... + 125551.

Almost surely, 2^137875000 is an apocalyptic number.

137875000 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 137875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161716680).

137875000 is an abundant number, since it is smaller than the sum of its proper divisors (185558360).

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

137875000 is an frugal number, since it uses more digits than its factorization.

137875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 137875000 is about 11742.0185658174. The cubic root of 137875000 is about 516.6088500456.

The spelling of 137875000 in words is "one hundred thirty-seven million, eight hundred seventy-five thousand".