157464 has 40 divisors (see below), whose sum is σ = 442860. Its totient is φ = 52488.

The previous prime is 157457. The next prime is 157477. The reversal of 157464 is 464751.

Multipling 157464 by its sum of digits (27), we get a cube (4251528 = 162^{3}).

157464 divided by its sum of digits (27) gives a cube (5832 = 18^{3}).

The cubic root of 157464 is 54.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×157464^{2} = 49589822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

157464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 52487 + 52488 + 52489.

157464 is a Friedman number, since it can be written as 54^(-(6/(4-7+1))), using all its digits and the basic arithmetic operations.

2^{157464} 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 157464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221430).

157464 is an abundant number, since it is smaller than the sum of its proper divisors (285396).

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

157464 is an frugal number, since it uses more digits than its factorization.

157464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 5 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 157464 is about 396.8173383309.

The spelling of 157464 in words is "one hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 39366 52488 78732 157464

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