152514221440 has 128 divisors (see below), whose sum is σ = 416991928320. Its totient is φ = 52252784640.

The previous prime is 152514221401. The next prime is 152514221441. The reversal of 152514221440 is 44122415251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152514221441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6578509 + ... + 6601651.

It is an arithmetic number, because the mean of its divisors is an integer number (3257749440).

Almost surely, 2^152514221440 is an apocalyptic number.

152514221440 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 152514221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208495964160).

152514221440 is an abundant number, since it is smaller than the sum of its proper divisors (264477706880).

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

152514221440 is a wasteful number, since it uses less digits than its factorization.

152514221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24640 (or 24628 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 152514221440 its reverse (44122415251), we get a palindrome (196636636691).

The spelling of 152514221440 in words is "one hundred fifty-two billion, five hundred fourteen million, two hundred twenty-one thousand, four hundred forty".