151338720 has 192 divisors, whose sum is σ = 521579520. Its totient is φ = 36661248.

The previous prime is 151338697. The next prime is 151338751. The reversal of 151338720 is 27833151.

151338720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492807 + ... + 493113.

It is an arithmetic number, because the mean of its divisors is an integer number (2716560).

Almost surely, 2^151338720 is an apocalyptic number.

151338720 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 151338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

151338720 is an abundant number, since it is smaller than the sum of its proper divisors (370240800).

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

151338720 is a wasteful number, since it uses less digits than its factorization.

151338720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 151338720 is about 12301.9803283862. The cubic root of 151338720 is about 532.9052745832.

The spelling of 151338720 in words is "one hundred fifty-one million, three hundred thirty-eight thousand, seven hundred twenty".