139905921600 has 315 divisors, whose sum is σ = 514754407497. Its totient is φ = 37272337920.

The previous prime is 139905921587. The next prime is 139905921601. The reversal of 139905921600 is 6129509931.

It is a happy number.

The square root of 139905921600 is 374040.

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

139905921600 is a `hidden beast` number, since 1 + 39 + 9 + 0 + 5 + 9 + 2 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50366131776 + 89539789824 = 224424^2 + 299232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (139905921601) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 134653881 + ... + 134654919.

Almost surely, 2^139905921600 is an apocalyptic number.

139905921600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139905921600 is the 374040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139905921600

139905921600 is an abundant number, since it is smaller than the sum of its proper divisors (374848485897).

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

139905921600 is an frugal number, since it uses more digits than its factorization.

139905921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 139905921600 in words is "one hundred thirty-nine billion, nine hundred five million, nine hundred twenty-one thousand, six hundred".