151837920 has 144 divisors (see below), whose sum is σ = 558073152. Its totient is φ = 37370880.

The previous prime is 151837919. The next prime is 151837937. The reversal of 151837920 is 29738151.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 14665 + ... + 22775.

It is an arithmetic number, because the mean of its divisors is an integer number (3875508).

Almost surely, 2^151837920 is an apocalyptic number.

151837920 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 151837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279036576).

151837920 is an abundant number, since it is smaller than the sum of its proper divisors (406235232).

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

151837920 is a wasteful number, since it uses less digits than its factorization.

151837920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8145 (or 8134 counting only the distinct ones).

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

The square root of 151837920 is about 12322.2530407389. The cubic root of 151837920 is about 533.4905716937.

The spelling of 151837920 in words is "one hundred fifty-one million, eight hundred thirty-seven thousand, nine hundred twenty".