153114640 has 80 divisors (see below), whose sum is σ = 412116480. Its totient is φ = 51816960.

The previous prime is 153114613. The next prime is 153114641. The reversal of 153114640 is 46411351.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (153114641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42510 + ... + 45970.

It is an arithmetic number, because the mean of its divisors is an integer number (5151456).

Almost surely, 2^153114640 is an apocalyptic number.

153114640 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 153114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206058240).

153114640 is an abundant number, since it is smaller than the sum of its proper divisors (259001840).

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

153114640 is a wasteful number, since it uses less digits than its factorization.

153114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 153114640 is about 12373.9500564694. The cubic root of 153114640 is about 534.9816746278.

Adding to 153114640 its reverse (46411351), we get a palindrome (199525991).

The spelling of 153114640 in words is "one hundred fifty-three million, one hundred fourteen thousand, six hundred forty".