151873920 has 512 divisors, whose sum is σ = 634521600. Its totient is φ = 33914880.

The previous prime is 151873907. The next prime is 151873949. The reversal of 151873920 is 29378151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3231337 + ... + 3231383.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^151873920 is an apocalyptic number.

151873920 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 151873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800).

151873920 is an abundant number, since it is smaller than the sum of its proper divisors (482647680).

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

151873920 is a wasteful number, since it uses less digits than its factorization.

151873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 151873920 is about 12323.7137259837. The cubic root of 151873920 is about 533.5327309973.

The spelling of 151873920 in words is "one hundred fifty-one million, eight hundred seventy-three thousand, nine hundred twenty".