151532400 has 120 divisors (see below), whose sum is σ = 488633904. Its totient is φ = 40140800.

The previous prime is 151532383. The next prime is 151532413. The reversal of 151532400 is 4235151.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236080 + ... + 236720.

Almost surely, 2^151532400 is an apocalyptic number.

151532400 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 151532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244316952).

151532400 is an abundant number, since it is smaller than the sum of its proper divisors (337101504).

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

151532400 is a wasteful number, since it uses less digits than its factorization.

151532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 151532400 is about 12309.8497147609. The cubic root of 151532400 is about 533.1325111972.

Adding to 151532400 its reverse (4235151), we get a palindrome (155767551).

The spelling of 151532400 in words is "one hundred fifty-one million, five hundred thirty-two thousand, four hundred".