151906720 has 96 divisors (see below), whose sum is σ = 428053248. Its totient is φ = 49809408.

The previous prime is 151906663. The next prime is 151906771. The reversal of 151906720 is 27609151.

It is a super-3 number, since 3×151906720³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22812 + ... + 28708.

It is an arithmetic number, because the mean of its divisors is an integer number (4458888).

Almost surely, 2^151906720 is an apocalyptic number.

151906720 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 151906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214026624).

151906720 is an abundant number, since it is smaller than the sum of its proper divisors (276146528).

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

151906720 is a wasteful number, since it uses less digits than its factorization.

151906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 151906720 is about 12325.0444218266. The cubic root of 151906720 is about 533.5711370074.

The spelling of 151906720 in words is "one hundred fifty-one million, nine hundred six thousand, seven hundred twenty".