151915920 has 320 divisors, whose sum is σ = 554964480. Its totient is φ = 34062336.

The previous prime is 151915919. The next prime is 151915921. The reversal of 151915920 is 29519151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151915919) and next prime (151915921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151915921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2081004 + ... + 2081076.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^151915920 is an apocalyptic number.

151915920 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 151915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277482240).

151915920 is an abundant number, since it is smaller than the sum of its proper divisors (403048560).

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

151915920 is a wasteful number, since it uses less digits than its factorization.

151915920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 33.

The square root of 151915920 is about 12325.4176399828. The cubic root of 151915920 is about 533.5819084321.

The spelling of 151915920 in words is "one hundred fifty-one million, nine hundred fifteen thousand, nine hundred twenty".