138248100 has 72 divisors (see below), whose sum is σ = 444450720. Its totient is φ = 36865440.

The previous prime is 138248087. The next prime is 138248113. The reversal of 138248100 is 1842831.

It is an interprime number because it is at equal distance from previous prime (138248087) and next prime (138248113).

It is a super-2 number, since 2×138248100² = 38225074307220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 22902 + ... + 28301.

Almost surely, 2^138248100 is an apocalyptic number.

138248100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138248100 is an abundant number, since it is smaller than the sum of its proper divisors (306202620).

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

138248100 is a wasteful number, since it uses less digits than its factorization.

138248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51226 (or 51213 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138248100 is about 11757.8952198087. The cubic root of 138248100 is about 517.0744243230.

The spelling of 138248100 in words is "one hundred thirty-eight million, two hundred forty-eight thousand, one hundred".