151531144000000 has 140 divisors (see below), whose sum is σ = 378453086636922. Its totient is φ = 60612454400000.

The previous prime is 151531143999913. The next prime is 151531144000097. The reversal of 151531144000000 is 441135151.

It can be written as a sum of positive squares in 7 ways, for example, as 98898092341504 + 52633051658496 = 9944752^2 + 7254864^2 .

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 13 ways as a sum of consecutive naturals, for example, 1470697 + ... + 17470696.

Almost surely, 2^{151531144000000} is an apocalyptic number.

151531144000000 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 151531144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189226543318461).

151531144000000 is an abundant number, since it is smaller than the sum of its proper divisors (226921942636922).

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

151531144000000 is an frugal number, since it uses more digits than its factorization.

151531144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18941441 (or 18941400 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 151531144000000 its reverse (441135151), we get a palindrome (151531585135151).

The spelling of 151531144000000 in words is "one hundred fifty-one trillion, five hundred thirty-one billion, one hundred forty-four million", and thus it is an aban number.