151905120 has 48 divisors (see below), whose sum is σ = 478502640. Its totient is φ = 40507904.

The previous prime is 151905119. The next prime is 151905137. The reversal of 151905120 is 21509151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157755 + ... + 158714.

It is an arithmetic number, because the mean of its divisors is an integer number (9968805).

Almost surely, 2^151905120 is an apocalyptic number.

151905120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151905120 is an abundant number, since it is smaller than the sum of its proper divisors (326597520).

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

151905120 is a wasteful number, since it uses less digits than its factorization.

151905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316487 (or 316479 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 151905120 is about 12324.9795131676. The cubic root of 151905120 is about 533.5692636718.

The spelling of 151905120 in words is "one hundred fifty-one million, nine hundred five thousand, one hundred twenty".