151609920 has 336 divisors, whose sum is σ = 612940608. Its totient is φ = 31395840.

The previous prime is 151609919. The next prime is 151609937. The reversal of 151609920 is 29906151.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 517294 + ... + 517586.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 2^151609920 is an apocalyptic number.

151609920 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 151609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306470304).

151609920 is an abundant number, since it is smaller than the sum of its proper divisors (461330688).

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

151609920 is a wasteful number, since it uses less digits than its factorization.

151609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 151609920 is about 12312.9980102329. The cubic root of 151609920 is about 533.2234079004.

The spelling of 151609920 in words is "one hundred fifty-one million, six hundred nine thousand, nine hundred twenty".