139952292480 has 3072 divisors, whose sum is σ = 718560460800. Its totient is φ = 25082265600.

The previous prime is 139952292461. The next prime is 139952292499. The reversal of 139952292480 is 84292259931.

139952292480 is a `hidden beast` number, since 1 + 3 + 99 + 52 + 29 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (139952292461) and next prime (139952292499).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4514590065 + ... + 4514590095.

It is an arithmetic number, because the mean of its divisors is an integer number (233906400).

Almost surely, 2^139952292480 is an apocalyptic number.

139952292480 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 139952292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359280230400).

139952292480 is an abundant number, since it is smaller than the sum of its proper divisors (578608168320).

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

139952292480 is a wasteful number, since it uses less digits than its factorization.

139952292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 139952292480 in words is "one hundred thirty-nine billion, nine hundred fifty-two million, two hundred ninety-two thousand, four hundred eighty".