137881590 has 96 divisors (see below), whose sum is σ = 419986944. Its totient is φ = 28647360.

The previous prime is 137881547. The next prime is 137881649. The reversal of 137881590 is 95188731.

137881590 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137881590² = 38022665721856200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 11907 + ... + 20433.

It is an arithmetic number, because the mean of its divisors is an integer number (4374864).

Almost surely, 2^137881590 is an apocalyptic number.

137881590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137881590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209993472).

137881590 is an abundant number, since it is smaller than the sum of its proper divisors (282105354).

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

137881590 is a wasteful number, since it uses less digits than its factorization.

137881590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8562 (or 8555 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The square root of 137881590 is about 11742.2991786106. The cubic root of 137881590 is about 516.6170806846.

The spelling of 137881590 in words is "one hundred thirty-seven million, eight hundred eighty-one thousand, five hundred ninety".