138811392 has 144 divisors (see below), whose sum is σ = 425454120. Its totient is φ = 43450368.

The previous prime is 138811373. The next prime is 138811411. The reversal of 138811392 is 293118831.

It is an interprime number because it is at equal distance from previous prime (138811373) and next prime (138811411).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313123 + ... + 313565.

Almost surely, 2^138811392 is an apocalyptic number.

138811392 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 138811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212727060).

138811392 is an abundant number, since it is smaller than the sum of its proper divisors (286642728).

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

138811392 is a wasteful number, since it uses less digits than its factorization.

138811392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 465 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 138811392 is about 11781.8246464629. The cubic root of 138811392 is about 517.7757460643.

The spelling of 138811392 in words is "one hundred thirty-eight million, eight hundred eleven thousand, three hundred ninety-two".