151434864 has 120 divisors (see below), whose sum is σ = 509907840. Its totient is φ = 40984704.

The previous prime is 151434851. The next prime is 151434869. The reversal of 151434864 is 468434151.

151434864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151434869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15199 + ... + 23105.

It is an arithmetic number, because the mean of its divisors is an integer number (4249232).

Almost surely, 2^151434864 is an apocalyptic number.

151434864 is a gapful number since it is divisible by the number (14) 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 151434864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254953920).

151434864 is an abundant number, since it is smaller than the sum of its proper divisors (358472976).

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

151434864 is a wasteful number, since it uses less digits than its factorization.

151434864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7947 (or 7938 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 151434864 is about 12305.8873714982. The cubic root of 151434864 is about 533.0181005203.

The spelling of 151434864 in words is "one hundred fifty-one million, four hundred thirty-four thousand, eight hundred sixty-four".