151532202400 has 144 divisors (see below), whose sum is σ = 372343293504. Its totient is φ = 60218439680.

The previous prime is 151532202383. The next prime is 151532202413. The reversal of 151532202400 is 4202235151.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 154152309 + ... + 154153291.

It is an arithmetic number, because the mean of its divisors is an integer number (2585717316).

Almost surely, 2^151532202400 is an apocalyptic number.

151532202400 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 151532202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186171646752).

151532202400 is an abundant number, since it is smaller than the sum of its proper divisors (220811091104).

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

151532202400 is a wasteful number, since it uses less digits than its factorization.

151532202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 151532202400 its reverse (4202235151), we get a palindrome (155734437551).

The spelling of 151532202400 in words is "one hundred fifty-one billion, five hundred thirty-two million, two hundred two thousand, four hundred".