138576690 has 256 divisors, whose sum is σ = 472780800. Its totient is φ = 28118016.

The previous prime is 138576661. The next prime is 138576721. The reversal of 138576690 is 96675831.

It is a happy number.

138576690 is a `hidden beast` number, since 13 + 8 + 576 + 69 + 0 = 666.

It is a super-2 number, since 2×138576690² = 38406998022712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 610357 + ... + 610583.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 2^138576690 is an apocalyptic number.

138576690 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 138576690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

138576690 is an abundant number, since it is smaller than the sum of its proper divisors (334204110).

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

138576690 is a wasteful number, since it uses less digits than its factorization.

138576690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 138576690 is about 11771.8600909117. The cubic root of 138576690 is about 517.4837634057.

The spelling of 138576690 in words is "one hundred thirty-eight million, five hundred seventy-six thousand, six hundred ninety".