157648101 has 24 divisors (see below), whose sum is σ = 229350240. Its totient is φ = 96273216.

The previous prime is 157648093. The next prime is 157648121. The reversal of 157648101 is 101846751.

It is a happy number.

It is not a de Polignac number, because 157648101 - 2³ = 157648093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157648121) 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 23 ways as a sum of consecutive naturals, for example, 69355 + ... + 71591.

It is an arithmetic number, because the mean of its divisors is an integer number (9556260).

Almost surely, 2^157648101 is an apocalyptic number.

It is an amenable number.

157648101 is a deficient number, since it is larger than the sum of its proper divisors (71702139).

157648101 is a wasteful number, since it uses less digits than its factorization.

157648101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 157648101 is about 12555.7994966470. The cubic root of 157648101 is about 540.2103672823.

The spelling of 157648101 in words is "one hundred fifty-seven million, six hundred forty-eight thousand, one hundred one".