139852065024 has 675 divisors, whose sum is σ = 495839050553. Its totient is φ = 39203813376.

The previous prime is 139852064993. The next prime is 139852065061. The reversal of 139852065024 is 420560258931.

The square root of 139852065024 is 373968.

It is a perfect power (a square), and thus also a powerful number.

139852065024 is a `hidden beast` number, since 1 + 3 + 98 + 52 + 0 + 6 + 502 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100818950400 + 39033114624 = 317520^2 + 197568^2 .

It is a super-3 number, since 3×139852065024³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2638718182 + ... + 2638718234.

Almost surely, 2^139852065024 is an apocalyptic number.

139852065024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

139852065024 is the 373968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139852065024

139852065024 is an abundant number, since it is smaller than the sum of its proper divisors (355986985529).

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

139852065024 is an frugal number, since it uses more digits than its factorization.

139852065024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 139852065024 in words is "one hundred thirty-nine billion, eight hundred fifty-two million, sixty-five thousand, twenty-four".