157114944 has 224 divisors, whose sum is σ = 546201600. Its totient is φ = 43338240.

The previous prime is 157114943. The next prime is 157114957. The reversal of 157114944 is 449411751.

157114944 is a `hidden beast` number, since 1 + 571 + 1 + 49 + 44 = 666.

157114944 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157114899 and 157114908.

It is not an unprimeable number, because it can be changed into a prime (157114943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374767 + ... + 375185.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2^157114944 is an apocalyptic number.

157114944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273100800).

157114944 is an abundant number, since it is smaller than the sum of its proper divisors (389086656).

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

157114944 is a wasteful number, since it uses less digits than its factorization.

157114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 157114944 is about 12534.5500118672. The cubic root of 157114944 is about 539.6006924558.

The spelling of 157114944 in words is "one hundred fifty-seven million, one hundred fourteen thousand, nine hundred forty-four".