152471200 has 144 divisors (see below), whose sum is σ = 448096320. Its totient is φ = 49489920.

The previous prime is 152471173. The next prime is 152471201. The reversal of 152471200 is 2174251.

It is a happy number.

It is a super-3 number, since 3×152471200³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152471201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105684 + ... + 107116.

It is an arithmetic number, because the mean of its divisors is an integer number (3111780).

Almost surely, 2^152471200 is an apocalyptic number.

152471200 is a gapful number since it is divisible by the number (10) 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 152471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224048160).

152471200 is an abundant number, since it is smaller than the sum of its proper divisors (295625120).

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

152471200 is a wasteful number, since it uses less digits than its factorization.

152471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 152471200 is about 12347.9229022536. The cubic root of 152471200 is about 534.2312305458.

The spelling of 152471200 in words is "one hundred fifty-two million, four hundred seventy-one thousand, two hundred".