138802461504 has 504 divisors, whose sum is σ = 452156279328. Its totient is φ = 37454376960.

The previous prime is 138802461431. The next prime is 138802461541. The reversal of 138802461504 is 405164208831.

It is a happy number.

It is a super-2 number, since 2×138802461504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 419342619 + ... + 419342949.

Almost surely, 2^138802461504 is an apocalyptic number.

138802461504 is a gapful number since it is divisible by the number (14) 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 138802461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226078139664).

138802461504 is an abundant number, since it is smaller than the sum of its proper divisors (313353817824).

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

138802461504 is a wasteful number, since it uses less digits than its factorization.

138802461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 138802461504 in words is "one hundred thirty-eight billion, eight hundred two million, four hundred sixty-one thousand, five hundred four".