157666944 has 128 divisors (see below), whose sum is σ = 437114880. Its totient is φ = 50319360.

The previous prime is 157666937. The next prime is 157666963. The reversal of 157666944 is 449666751.

157666944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 157666893 and 157666902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241409 + ... + 1241535.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2^157666944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157666944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

157666944 is an abundant number, since it is smaller than the sum of its proper divisors (279447936).

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

157666944 is a wasteful number, since it uses less digits than its factorization.

157666944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 157666944 is about 12556.5498446030. The cubic root of 157666944 is about 540.2318894327.

The spelling of 157666944 in words is "one hundred fifty-seven million, six hundred sixty-six thousand, nine hundred forty-four".