159007464 has 384 divisors, whose sum is σ = 593049600. Its totient is φ = 37255680.

The previous prime is 159007451. The next prime is 159007469. The reversal of 159007464 is 464700951.

159007464 is a `hidden beast` number, since 1 + 590 + 0 + 7 + 4 + 64 = 666.

It is a super-2 number, since 2×159007464² = 50566747215422592, which contains 22 as substring.

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 (159007469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3697827 + ... + 3697869.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2^159007464 is an apocalyptic number.

159007464 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 159007464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296524800).

159007464 is an abundant number, since it is smaller than the sum of its proper divisors (434042136).

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

159007464 is a wasteful number, since it uses less digits than its factorization.

159007464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 159007464 is about 12609.8161762969. The cubic root of 159007464 is about 541.7586285624.

The spelling of 159007464 in words is "one hundred fifty-nine million, seven thousand, four hundred sixty-four".