157642901 has 8 divisors (see below), whose sum is σ = 170060184. Its totient is φ = 145267200.

The previous prime is 157642889. The next prime is 157642957. The reversal of 157642901 is 109246751.

It can be written as a sum of positive squares in 4 ways, for example, as 34210801 + 123432100 = 5849^2 + 11110^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 157642901 - 2¹⁴ = 157626517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157642301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2276 + ... + 17901.

It is an arithmetic number, because the mean of its divisors is an integer number (21257523).

Almost surely, 2^157642901 is an apocalyptic number.

It is an amenable number.

157642901 is a deficient number, since it is larger than the sum of its proper divisors (12417283).

157642901 is a wasteful number, since it uses less digits than its factorization.

157642901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20791.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 157642901 is about 12555.5924193166. The cubic root of 157642901 is about 540.2044276299.

The spelling of 157642901 in words is "one hundred fifty-seven million, six hundred forty-two thousand, nine hundred one".