152693377600 has 63 divisors (see below), whose sum is σ = 375759606747. Its totient is φ = 61071098880.

The previous prime is 152693377597. The next prime is 152693377609. The reversal of 152693377600 is 6773396251.

The square root of 152693377600 is 390760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13498721856 + 139194655744 = 116184^2 + 373088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152693377609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15625516 + ... + 15635284.

Almost surely, 2^152693377600 is an apocalyptic number.

152693377600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152693377600 is the 390760-th square number.

It is an amenable number.

152693377600 is an abundant number, since it is smaller than the sum of its proper divisors (223066229147).

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

152693377600 is an frugal number, since it uses more digits than its factorization.

152693377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19560 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 49.

Multiplying 152693377600 by its sum of digits (49), we get a square (7481975502400 = 2735320²).

The spelling of 152693377600 in words is "one hundred fifty-two billion, six hundred ninety-three million, three hundred seventy-seven thousand, six hundred".