157148544 has 256 divisors, whose sum is σ = 534643200. Its totient is φ = 39813120.

The previous prime is 157148521. The next prime is 157148587. The reversal of 157148544 is 445841751.

It is a super-3 number, since 3×157148544³ (a number of 26 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868134 + ... + 868314.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^157148544 is an apocalyptic number.

157148544 is a gapful number since it is divisible by the number (14) 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 157148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

157148544 is an abundant number, since it is smaller than the sum of its proper divisors (377494656).

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

157148544 is a wasteful number, since it uses less digits than its factorization.

157148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 89600, while the sum is 39.

The square root of 157148544 is about 12535.8902356394. The cubic root of 157148544 is about 539.6391553597.

The spelling of 157148544 in words is "one hundred fifty-seven million, one hundred forty-eight thousand, five hundred forty-four".