157243968 has 168 divisors, whose sum is σ = 524621760. Its totient is φ = 44098560.

The previous prime is 157243967. The next prime is 157243993. The reversal of 157243968 is 869342751.

157243968 is a `hidden beast` number, since 157 + 2 + 439 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (157243963) 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, 237558 + ... + 238218.

Almost surely, 2^157243968 is an apocalyptic number.

157243968 is a gapful number since it is divisible by the number (18) 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 157243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262310880).

157243968 is an abundant number, since it is smaller than the sum of its proper divisors (367377792).

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

157243968 is a wasteful number, since it uses less digits than its factorization.

157243968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 157243968 is about 12539.6956900875. The cubic root of 157243968 is about 539.7483601203.

The spelling of 157243968 in words is "one hundred fifty-seven million, two hundred forty-three thousand, nine hundred sixty-eight".