157423968 has 144 divisors (see below), whose sum is σ = 507714480. Its totient is φ = 45868032.

The previous prime is 157423957. The next prime is 157423979. The reversal of 157423968 is 869324751.

It is an interprime number because it is at equal distance from previous prime (157423957) and next prime (157423979).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70030 + ... + 72242.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 2^157423968 is an apocalyptic number.

157423968 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 157423968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253857240).

157423968 is an abundant number, since it is smaller than the sum of its proper divisors (350290512).

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

157423968 is a wasteful number, since it uses less digits than its factorization.

157423968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2250 counting only the distinct ones).

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

The square root of 157423968 is about 12546.8708449557. The cubic root of 157423968 is about 539.9542348046.

The spelling of 157423968 in words is "one hundred fifty-seven million, four hundred twenty-three thousand, nine hundred sixty-eight".