138357072 has 200 divisors, whose sum is σ = 465244032. Its totient is φ = 38880000.

The previous prime is 138357053. The next prime is 138357103. The reversal of 138357072 is 270753831.

138357072 is a `hidden beast` number, since 1 + 3 + 83 + 570 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 916197 + ... + 916347.

Almost surely, 2^138357072 is an apocalyptic number.

138357072 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 138357072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232622016).

138357072 is an abundant number, since it is smaller than the sum of its proper divisors (326886960).

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

138357072 is a wasteful number, since it uses less digits than its factorization.

138357072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 138357072 is about 11762.5282996471. The cubic root of 138357072 is about 517.2102473732.

The spelling of 138357072 in words is "one hundred thirty-eight million, three hundred fifty-seven thousand, seventy-two".