157405248 has 504 divisors, whose sum is σ = 635873760. Its totient is φ = 37739520.

The previous prime is 157405231. The next prime is 157405309. The reversal of 157405248 is 842504751.

157405248 is a `hidden beast` number, since 1 + 5 + 7 + 405 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12108090 + ... + 12108102.

Almost surely, 2^157405248 is an apocalyptic number.

157405248 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 157405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317936880).

157405248 is an abundant number, since it is smaller than the sum of its proper divisors (478468512).

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

157405248 is a wasteful number, since it uses less digits than its factorization.

157405248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 157405248 is about 12546.1248200391. The cubic root of 157405248 is about 539.9328311516.

Adding to 157405248 its reverse (842504751), we get a palindrome (999909999).

The spelling of 157405248 in words is "one hundred fifty-seven million, four hundred five thousand, two hundred forty-eight".