157448772 has 120 divisors (see below), whose sum is σ = 458904600. Its totient is φ = 46738944.

The previous prime is 157448771. The next prime is 157448779. The reversal of 157448772 is 277844751.

157448772 is a `hidden beast` number, since 1 + 574 + 4 + 8 + 7 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21399876 + 136048896 = 4626^2 + 11664^2 .

It is not an unprimeable number, because it can be changed into a prime (157448771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121504 + ... + 122792.

It is an arithmetic number, because the mean of its divisors is an integer number (3824205).

Almost surely, 2^157448772 is an apocalyptic number.

157448772 is a gapful number since it is divisible by the number (12) 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 157448772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229452300).

157448772 is an abundant number, since it is smaller than the sum of its proper divisors (301455828).

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

157448772 is a wasteful number, since it uses less digits than its factorization.

157448772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1336 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 157448772 is about 12547.8592596506. The cubic root of 157448772 is about 539.9825920314.

The spelling of 157448772 in words is "one hundred fifty-seven million, four hundred forty-eight thousand, seven hundred seventy-two".