138948203520 has 880 divisors, whose sum is σ = 594068352768. Its totient is φ = 30364139520.

The previous prime is 138948203509. The next prime is 138948203539. The reversal of 138948203520 is 25302849831.

138948203520 is a `hidden beast` number, since 1 + 3 + 89 + 48 + 2 + 0 + 3 + 520 = 666.

It is a super-2 number, since 2×138948203520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66768880 + ... + 66770960.

Almost surely, 2^138948203520 is an apocalyptic number.

138948203520 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 138948203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297034176384).

138948203520 is an abundant number, since it is smaller than the sum of its proper divisors (455120149248).

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

138948203520 is a wasteful number, since it uses less digits than its factorization.

138948203520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 138948203520 in words is "one hundred thirty-eight billion, nine hundred forty-eight million, two hundred three thousand, five hundred twenty".