157881564 has 72 divisors (see below), whose sum is σ = 426142080. Its totient is φ = 49140000.

The previous prime is 157881557. The next prime is 157881571. The reversal of 157881564 is 465188751.

157881564 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 81 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (157881557) and next prime (157881571).

It is a congruent number.

It is an unprimeable number.

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, 46939 + ... + 50189.

It is an arithmetic number, because the mean of its divisors is an integer number (5918640).

Almost surely, 2^157881564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157881564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213071040).

157881564 is an abundant number, since it is smaller than the sum of its proper divisors (268260516).

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

157881564 is a wasteful number, since it uses less digits than its factorization.

157881564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3346 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 157881564 is about 12565.0930756600. The cubic root of 157881564 is about 540.4769037988.

It can be divided in two parts, 157 and 881564, that added together give a square (881721 = 939²).

The spelling of 157881564 in words is "one hundred fifty-seven million, eight hundred eighty-one thousand, five hundred sixty-four".