157736770048900 has 243 divisors, whose sum is σ = 405168984658767. Its totient is φ = 53147065574400.

The previous prime is 157736770048877. The next prime is 157736770048931. The reversal of 157736770048900 is 9840077637751.

The square root of 157736770048900 is 12559330.

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

157736770048900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36030510461764 + 121706259587136 = 6002542^2 + 11032056^2 .

It is a super-2 number, since 2×157736770048900² (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, 51870031380 + ... + 51870034420.

Almost surely, 2^{157736770048900} is an apocalyptic number.

157736770048900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157736770048900 is the 12559330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157736770048900

157736770048900 is an abundant number, since it is smaller than the sum of its proper divisors (247432214609867).

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

157736770048900 is an frugal number, since it uses more digits than its factorization.

157736770048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 64.

The spelling of 157736770048900 in words is "one hundred fifty-seven trillion, seven hundred thirty-six billion, seven hundred seventy million, forty-eight thousand, nine hundred".