138552792 has 64 divisors (see below), whose sum is σ = 403968000. Its totient is φ = 39584160.

The previous prime is 138552787. The next prime is 138552793. The reversal of 138552792 is 297255831.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138552793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184 + ... + 16647.

It is an arithmetic number, because the mean of its divisors is an integer number (6312000).

Almost surely, 2^138552792 is an apocalyptic number.

138552792 is a gapful number since it is divisible by the number (12) 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 138552792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201984000).

138552792 is an abundant number, since it is smaller than the sum of its proper divisors (265415208).

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

138552792 is a wasteful number, since it uses less digits than its factorization.

138552792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16861 (or 16843 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 138552792 is about 11770.8449994042. The cubic root of 138552792 is about 517.4540144440.

The spelling of 138552792 in words is "one hundred thirty-eight million, five hundred fifty-two thousand, seven hundred ninety-two".