151344134400 has 216 divisors, whose sum is σ = 501341037120. Its totient is φ = 40207032320.

The previous prime is 151344134393. The next prime is 151344134437. The reversal of 151344134400 is 4431443151.

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

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, 5150149 + ... + 5179451.

It is an arithmetic number, because the mean of its divisors is an integer number (2321023320).

Almost surely, 2^151344134400 is an apocalyptic number.

151344134400 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 151344134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250670518560).

151344134400 is an abundant number, since it is smaller than the sum of its proper divisors (349996902720).

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

151344134400 is a wasteful number, since it uses less digits than its factorization.

151344134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29601 (or 29582 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 151344134400 its reverse (4431443151), we get a palindrome (155775577551).

The spelling of 151344134400 in words is "one hundred fifty-one billion, three hundred forty-four million, one hundred thirty-four thousand, four hundred".