151480314 has 64 divisors (see below), whose sum is σ = 348796800. Its totient is φ = 48698496.

The previous prime is 151480313. The next prime is 151480321. The reversal of 151480314 is 413084151.

It is a happy number.

151480314 is a `hidden beast` number, since 151 + 480 + 31 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151480313) 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, 206292 + ... + 207024.

It is an arithmetic number, because the mean of its divisors is an integer number (5449950).

Almost surely, 2^151480314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151480314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174398400).

151480314 is an abundant number, since it is smaller than the sum of its proper divisors (197316486).

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

151480314 is a wasteful number, since it uses less digits than its factorization.

151480314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151480314 is about 12307.7339100258. The cubic root of 151480314 is about 533.0714199229.

The spelling of 151480314 in words is "one hundred fifty-one million, four hundred eighty thousand, three hundred fourteen".