157064544 has 216 divisors, whose sum is σ = 553945392. Its totient is φ = 41333760.

The previous prime is 157064543. The next prime is 157064587. The reversal of 157064544 is 445460751.

157064544 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 645 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157064499 and 157064508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157064543) 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 35 ways as a sum of consecutive naturals, for example, 340474 + ... + 340934.

It is an arithmetic number, because the mean of its divisors is an integer number (2564562).

Almost surely, 2^157064544 is an apocalyptic number.

157064544 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 157064544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276972696).

157064544 is an abundant number, since it is smaller than the sum of its proper divisors (396880848).

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

157064544 is a wasteful number, since it uses less digits than its factorization.

157064544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 157064544 is about 12532.5394074784. The cubic root of 157064544 is about 539.5429878167.

The spelling of 157064544 in words is "one hundred fifty-seven million, sixty-four thousand, five hundred forty-four".