1137571564900 has 27 divisors (see below), whose sum is σ = 2468553440619. Its totient is φ = 455024359680.

The previous prime is 1137571564897. The next prime is 1137571564931. The reversal of 1137571564900 is 94651757311.

It is a happy number.

The square root of 1137571564900 is 1066570.

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 165833015076 + 971738549824 = 407226^2 + 985768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10612372 + ... + 10719028.

Almost surely, 2^{1137571564900} is an apocalyptic number.

1137571564900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1137571564900 is the 1066570-th square number.

It is an amenable number.

1137571564900 is an abundant number, since it is smaller than the sum of its proper divisors (1330981875719).

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

1137571564900 is an frugal number, since it uses more digits than its factorization.

1137571564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213328 (or 106664 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 49.

Multiplying 1137571564900 by its sum of digits (49), we get a square (55741006680100 = 7465990²).

The spelling of 1137571564900 in words is "one trillion, one hundred thirty-seven billion, five hundred seventy-one million, five hundred sixty-four thousand, nine hundred".