151134080 has 128 divisors (see below), whose sum is σ = 396576000. Its totient is φ = 54820864.

The previous prime is 151134047. The next prime is 151134133. The reversal of 151134080 is 80431151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 315281 + ... + 315759.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^151134080 is an apocalyptic number.

151134080 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 151134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

151134080 is an abundant number, since it is smaller than the sum of its proper divisors (245441920).

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

151134080 is a wasteful number, since it uses less digits than its factorization.

151134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 151134080 is about 12293.6601547302. The cubic root of 151134080 is about 532.6649683208.

The spelling of 151134080 in words is "one hundred fifty-one million, one hundred thirty-four thousand, eighty".