138941510400 has 648 divisors, whose sum is σ = 619341026304. Its totient is φ = 28870041600.

The previous prime is 138941510399. The next prime is 138941510401. The reversal of 138941510400 is 4015149831.

138941510400 is a `hidden beast` number, since 13 + 8 + 94 + 1 + 510 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138941510399) and next prime (138941510401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138941510401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4419537 + ... + 4450863.

Almost surely, 2^138941510400 is an apocalyptic number.

138941510400 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 138941510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309670513152).

138941510400 is an abundant number, since it is smaller than the sum of its proper divisors (480399515904).

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

138941510400 is a wasteful number, since it uses less digits than its factorization.

138941510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31377 (or 31355 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 138941510400 in words is "one hundred thirty-eight billion, nine hundred forty-one million, five hundred ten thousand, four hundred".