151304553013200 has 240 divisors, whose sum is σ = 500948934180480. Its totient is φ = 39007348623360.

The previous prime is 151304553013153. The next prime is 151304553013307. The reversal of 151304553013200 is 2310355403151.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3881940 + ... + 17823539.

It is an arithmetic number, because the mean of its divisors is an integer number (2087287225752).

Almost surely, 2^{151304553013200} is an apocalyptic number.

151304553013200 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 151304553013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250474467090240).

151304553013200 is an abundant number, since it is smaller than the sum of its proper divisors (349644381167280).

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

151304553013200 is a wasteful number, since it uses less digits than its factorization.

151304553013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21705694 (or 21705683 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 151304553013200 in words is "one hundred fifty-one trillion, three hundred four billion, five hundred fifty-three million, thirteen thousand, two hundred".