152105472 has 80 divisors (see below), whose sum is σ = 450283680. Its totient is φ = 50697216.

The previous prime is 152105453. The next prime is 152105497. The reversal of 152105472 is 274501251.

It is a super-2 number, since 2×152105472² = 46272149224685568, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8323 + ... + 19325.

It is an arithmetic number, because the mean of its divisors is an integer number (5628546).

Almost surely, 2^152105472 is an apocalyptic number.

152105472 is a gapful number since it is divisible by the number (12) 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 152105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225141840).

152105472 is an abundant number, since it is smaller than the sum of its proper divisors (298178208).

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

152105472 is an equidigital number, since it uses as much as digits as its factorization.

152105472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 152105472 is about 12333.1047186019. The cubic root of 152105472 is about 533.8037405281.

The spelling of 152105472 in words is "one hundred fifty-two million, one hundred five thousand, four hundred seventy-two".