151946080 has 192 divisors, whose sum is σ = 438177600. Its totient is φ = 49029120.

The previous prime is 151946077. The next prime is 151946089. The reversal of 151946080 is 80649151.

It is a super-2 number, since 2×151946080² = 46175222454732800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151946089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663406 + ... + 663634.

It is an arithmetic number, because the mean of its divisors is an integer number (2282175).

Almost surely, 2^151946080 is an apocalyptic number.

151946080 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 151946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219088800).

151946080 is an abundant number, since it is smaller than the sum of its proper divisors (286231520).

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

151946080 is a wasteful number, since it uses less digits than its factorization.

151946080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 151946080 is about 12326.6410672170. The cubic root of 151946080 is about 533.6172169227.

The spelling of 151946080 in words is "one hundred fifty-one million, nine hundred forty-six thousand, eighty".