151290097920 has 432 divisors, whose sum is σ = 581366580480. Its totient is φ = 37239201792.

The previous prime is 151290097913. The next prime is 151290097957. The reversal of 151290097920 is 29790092151.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5827689 + ... + 5853591.

Almost surely, 2^151290097920 is an apocalyptic number.

151290097920 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 151290097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290683290240).

151290097920 is an abundant number, since it is smaller than the sum of its proper divisors (430076482560).

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

151290097920 is a wasteful number, since it uses less digits than its factorization.

151290097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25959 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 151290097920 in words is "one hundred fifty-one billion, two hundred ninety million, ninety-seven thousand, nine hundred twenty".