151430400 has 324 divisors, whose sum is σ = 593087040. Its totient is φ = 36556800.

The previous prime is 151430369. The next prime is 151430417. The reversal of 151430400 is 4034151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633481 + ... + 633719.

Almost surely, 2^151430400 is an apocalyptic number.

151430400 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 151430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296543520).

151430400 is an abundant number, since it is smaller than the sum of its proper divisors (441656640).

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

151430400 is a wasteful number, since it uses less digits than its factorization.

151430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 151430400 is about 12305.7059935625. The cubic root of 151430400 is about 533.0128630293.

Adding to 151430400 its reverse (4034151), we get a palindrome (155464551).

The spelling of 151430400 in words is "one hundred fifty-one million, four hundred thirty thousand, four hundred".