151313760 has 288 divisors, whose sum is σ = 569630880. Its totient is φ = 36347904.

The previous prime is 151313749. The next prime is 151313779. The reversal of 151313760 is 67313151.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104412 + ... + 1104548.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^151313760 is an apocalyptic number.

151313760 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 151313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284815440).

151313760 is an abundant number, since it is smaller than the sum of its proper divisors (418317120).

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

151313760 is a wasteful number, since it uses less digits than its factorization.

151313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 151313760 is about 12300.9658157398. The cubic root of 151313760 is about 532.8759759631.

The spelling of 151313760 in words is "one hundred fifty-one million, three hundred thirteen thousand, seven hundred sixty".