157891538940100 has 243 divisors, whose sum is σ = 404262320631687. Its totient is φ = 53370963797760.

The previous prime is 157891538940073. The next prime is 157891538940143. The reversal of 157891538940100 is 1049835198751.

The square root of 157891538940100 is 12565490.

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 863973968004 + 157027564972096 = 929502^2 + 12531064^2 .

It is a super-2 number, since 2×157891538940100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64209652671 + ... + 64209655129.

Almost surely, 2^{157891538940100} is an apocalyptic number.

157891538940100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157891538940100 is the 12565490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157891538940100

157891538940100 is an abundant number, since it is smaller than the sum of its proper divisors (246370781691587).

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

157891538940100 is an frugal number, since it uses more digits than its factorization.

157891538940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 61.

The spelling of 157891538940100 in words is "one hundred fifty-seven trillion, eight hundred ninety-one billion, five hundred thirty-eight million, nine hundred forty thousand, one hundred".