157009941 has 32 divisors (see below), whose sum is σ = 254499840. Its totient is φ = 94878000.

The previous prime is 157009921. The next prime is 157009961. The reversal of 157009941 is 149900751.

It is an interprime number because it is at equal distance from previous prime (157009921) and next prime (157009961).

It is not a de Polignac number, because 157009941 - 2⁹ = 157009429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157009896 and 157009905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157009921) 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 31 ways as a sum of consecutive naturals, for example, 148866 + ... + 149916.

It is an arithmetic number, because the mean of its divisors is an integer number (7953120).

Almost surely, 2^157009941 is an apocalyptic number.

157009941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157009941 is a deficient number, since it is larger than the sum of its proper divisors (97489899).

157009941 is a wasteful number, since it uses less digits than its factorization.

157009941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 157009941 is about 12530.3607689484. The cubic root of 157009941 is about 539.4804570896.

The spelling of 157009941 in words is "one hundred fifty-seven million, nine thousand, nine hundred forty-one".