152036640 has 144 divisors (see below), whose sum is σ = 592982208. Its totient is φ = 34748928.

The previous prime is 152036629. The next prime is 152036659. The reversal of 152036640 is 46630251.

152036640 is a `hidden beast` number, since 15 + 2 + 0 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×152036640³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539 + ... + 17621.

It is an arithmetic number, because the mean of its divisors is an integer number (4117932).

Almost surely, 2^152036640 is an apocalyptic number.

152036640 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 152036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296491104).

152036640 is an abundant number, since it is smaller than the sum of its proper divisors (440945568).

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

152036640 is a wasteful number, since it uses less digits than its factorization.

152036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15111 (or 15100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 152036640 is about 12330.3138646184. The cubic root of 152036640 is about 533.7232079819.

Adding to 152036640 its reverse (46630251), we get a palindrome (198666891).

The spelling of 152036640 in words is "one hundred fifty-two million, thirty-six thousand, six hundred forty".