151514064 has 300 divisors, whose sum is σ = 522724356. Its totient is φ = 41969664.

The previous prime is 151514063. The next prime is 151514089. The reversal of 151514064 is 460415151.

151514064 is a `hidden beast` number, since 1 + 515 + 140 + 6 + 4 = 666.

151514064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 82955664 = 8280^2 + 9108^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151514063) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6587557 + ... + 6587579.

Almost surely, 2^151514064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151514064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261362178).

151514064 is an abundant number, since it is smaller than the sum of its proper divisors (371210292).

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

151514064 is a wasteful number, since it uses less digits than its factorization.

151514064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 151514064 is about 12309.1049227797. The cubic root of 151514064 is about 533.1110066388. Note that the first 3 decimals are identical.

The spelling of 151514064 in words is "one hundred fifty-one million, five hundred fourteen thousand, sixty-four".