138902040 has 160 divisors (see below), whose sum is σ = 478201680. Its totient is φ = 36142848.

The previous prime is 138902039. The next prime is 138902047. The reversal of 138902040 is 40209831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 138901995 and 138902013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138902047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138822 + ... + 139818.

Almost surely, 2^138902040 is an apocalyptic number.

138902040 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 138902040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239100840).

138902040 is an abundant number, since it is smaller than the sum of its proper divisors (339299640).

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

138902040 is a wasteful number, since it uses less digits than its factorization.

138902040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138902040 is about 11785.6709609593. The cubic root of 138902040 is about 517.8884292337. Note that the first 3 decimals are identical.

The spelling of 138902040 in words is "one hundred thirty-eight million, nine hundred two thousand, forty".