151142534400 has 432 divisors, whose sum is σ = 586015617600. Its totient is φ = 33821491200.

The previous prime is 151142534383. The next prime is 151142534407. The reversal of 151142534400 is 4435241151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151142534407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2718076 + ... + 2773124.

Almost surely, 2^151142534400 is an apocalyptic number.

151142534400 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 151142534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293007808800).

151142534400 is an abundant number, since it is smaller than the sum of its proper divisors (434873083200).

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

151142534400 is a wasteful number, since it uses less digits than its factorization.

151142534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55102 (or 55083 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 151142534400 its reverse (4435241151), we get a palindrome (155577775551).

The spelling of 151142534400 in words is "one hundred fifty-one billion, one hundred forty-two million, five hundred thirty-four thousand, four hundred".