151534240000 has 720 divisors, whose sum is σ = 458603449920. Its totient is φ = 49213440000.

The previous prime is 151534239977. The next prime is 151534240027. The reversal of 151534240000 is 42435151.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 846559911 + ... + 846560089.

It is an arithmetic number, because the mean of its divisors is an integer number (636949236).

Almost surely, 2^151534240000 is an apocalyptic number.

151534240000 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 151534240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229301724960).

151534240000 is an abundant number, since it is smaller than the sum of its proper divisors (307069209920).

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

151534240000 is a wasteful number, since it uses less digits than its factorization.

151534240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

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

Adding to 151534240000 its reverse (42435151), we get a palindrome (151576675151).

The spelling of 151534240000 in words is "one hundred fifty-one billion, five hundred thirty-four million, two hundred forty thousand".