157242888 has 72 divisors (see below), whose sum is σ = 468126750. Its totient is φ = 47646720.

The previous prime is 157242857. The next prime is 157242889. The reversal of 157242888 is 888242751.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 107371044 + 49871844 = 10362^2 + 7062^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157242889) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 313 + ... + 17736.

Almost surely, 2^157242888 is an apocalyptic number.

157242888 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 157242888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234063375).

157242888 is an abundant number, since it is smaller than the sum of its proper divisors (310883862).

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

157242888 is a wasteful number, since it uses less digits than its factorization.

157242888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083 (or 18065 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 157242888 is about 12539.6526267676. The cubic root of 157242888 is about 539.7471243982.

It can be divided in two parts, 1572428 and 88, that added together give a square (1572516 = 1254²).

The spelling of 157242888 in words is "one hundred fifty-seven million, two hundred forty-two thousand, eight hundred eighty-eight".