151344010420000 has 240 divisors, whose sum is σ = 395577896396760. Its totient is φ = 56870360064000.

The previous prime is 151344010419977. The next prime is 151344010420019. The reversal of 151344010420000 is 24010443151.

151344010420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 17954168919696 + 133389841500304 = 4237236^2 + 11549452^2 .

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 39 ways as a sum of consecutive naturals, for example, 17933812 + ... + 24986188.

Almost surely, 2^{151344010420000} is an apocalyptic number.

151344010420000 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 151344010420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197788948198380).

151344010420000 is an abundant number, since it is smaller than the sum of its proper divisors (244233885976760).

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

151344010420000 is an equidigital number, since it uses as much as digits as its factorization.

151344010420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052473 (or 7052450 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 151344010420000 its reverse (24010443151), we get a palindrome (151368020863151).

The spelling of 151344010420000 in words is "one hundred fifty-one trillion, three hundred forty-four billion, ten million, four hundred twenty thousand".