1137959829504 has 255 divisors, whose sum is σ = 3407163513303. Its totient is φ = 378500677632.

The previous prime is 1137959829491. The next prime is 1137959829529. The reversal of 1137959829504 is 4059289597311.

The square root of 1137959829504 is 1066752.

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

1137959829504 is a `hidden beast` number, since 1 + 1 + 3 + 79 + 59 + 8 + 2 + 9 + 504 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2457796377 + ... + 2457796839.

Almost surely, 2^{1137959829504} is an apocalyptic number.

1137959829504 is the 1066752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137959829504

1137959829504 is an abundant number, since it is smaller than the sum of its proper divisors (2269203683799).

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

1137959829504 is an frugal number, since it uses more digits than its factorization.

1137959829504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 1137959829504 in words is "one trillion, one hundred thirty-seven billion, nine hundred fifty-nine million, eight hundred twenty-nine thousand, five hundred four".