157335189025 has 45 divisors (see below), whose sum is σ = 227738697011. Its totient is φ = 107820348720.

The previous prime is 157335189019. The next prime is 157335189029. The reversal of 157335189025 is 520981533751.

It is a happy number.

The square root of 157335189025 is 396655.

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

It can be written as a sum of positive squares in only one way, i.e., 56640668049 + 100694520976 = 237993^2 + 317324^2 .

It is a de Polignac number, because none of the positive numbers 2^k-157335189025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 157335189025.

It is not an unprimeable number, because it can be changed into a prime (157335189029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97179666 + ... + 97181284.

Almost surely, 2^157335189025 is an apocalyptic number.

157335189025 is the 396655-th square number.

157335189025 is the 198328-th centered octagonal number.

It is an amenable number.

157335189025 is a deficient number, since it is larger than the sum of its proper divisors (70403507986).

157335189025 is an frugal number, since it uses more digits than its factorization.

157335189025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

Multiplying 157335189025 by its sum of digits (49), we get a square (7709424262225 = 2776585²).

157335189025 divided by its sum of digits (49) gives a square (3210922225 = 56665²).

The spelling of 157335189025 in words is "one hundred fifty-seven billion, three hundred thirty-five million, one hundred eighty-nine thousand, twenty-five".