152414000 has 40 divisors (see below), whose sum is σ = 368541888. Its totient is φ = 60964800.

The previous prime is 152413967. The next prime is 152414021. The reversal of 152414000 is 414251.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 152414000.

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, 36104 + ... + 40103.

Almost surely, 2^152414000 is an apocalyptic number.

152414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152414000 is an abundant number, since it is smaller than the sum of its proper divisors (216127888).

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

152414000 is an equidigital number, since it uses as much as digits as its factorization.

152414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76230 (or 76214 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 152414000 is about 12345.6065059599. The cubic root of 152414000 is about 534.1644160731.

Adding to 152414000 its reverse (414251), we get a palindrome (152828251).

The spelling of 152414000 in words is "one hundred fifty-two million, four hundred fourteen thousand".