157642848 has 288 divisors, whose sum is σ = 539360640. Its totient is φ = 44789760.

The previous prime is 157642831. The next prime is 157642861. The reversal of 157642848 is 848246751.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×157642848² = 49702535051102208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1625136 + ... + 1625232.

It is an arithmetic number, because the mean of its divisors is an integer number (1872780).

Almost surely, 2^157642848 is an apocalyptic number.

157642848 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 157642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269680320).

157642848 is an abundant number, since it is smaller than the sum of its proper divisors (381717792).

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

157642848 is a wasteful number, since it uses less digits than its factorization.

157642848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 157642848 is about 12555.5903087031. The cubic root of 157642848 is about 540.2043670904.

The spelling of 157642848 in words is "one hundred fifty-seven million, six hundred forty-two thousand, eight hundred forty-eight".