157948560 has 540 divisors, whose sum is σ = 696572604. Its totient is φ = 31933440.

The previous prime is 157948559. The next prime is 157948561. The reversal of 157948560 is 65849751.

157948560 is a `hidden beast` number, since 15 + 79 + 4 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (157948559) and next prime (157948561).

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 54641664 = 10164^2 + 7392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (157948561) 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 107 ways as a sum of consecutive naturals, for example, 4268862 + ... + 4268898.

Almost surely, 2^157948560 is an apocalyptic number.

157948560 is a gapful number since it is divisible by the number (10) 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 157948560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348286302).

157948560 is an abundant number, since it is smaller than the sum of its proper divisors (538624044).

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

157948560 is a wasteful number, since it uses less digits than its factorization.

157948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 157948560 is about 12567.7587500715. The cubic root of 157948560 is about 540.5533422572.

The spelling of 157948560 in words is "one hundred fifty-seven million, nine hundred forty-eight thousand, five hundred sixty".