138356100 has 360 divisors, whose sum is σ = 504134400. Its totient is φ = 32659200.

The previous prime is 138356083. The next prime is 138356117. The reversal of 138356100 is 1653831.

138356100 is a `hidden beast` number, since 13 + 8 + 35 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138356083) and next prime (138356117).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4463085 + ... + 4463115.

Almost surely, 2^138356100 is an apocalyptic number.

138356100 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 138356100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252067200).

138356100 is an abundant number, since it is smaller than the sum of its proper divisors (365778300).

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

138356100 is a wasteful number, since it uses less digits than its factorization.

138356100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 138356100 is about 11762.4869819269. The cubic root of 138356100 is about 517.2090361845.

The spelling of 138356100 in words is "one hundred thirty-eight million, three hundred fifty-six thousand, one hundred".