152520762240 has 1024 divisors, whose sum is σ = 682463232000. Its totient is φ = 31269888000.

The previous prime is 152520762227. The next prime is 152520762263. The reversal of 152520762240 is 42267025251.

152520762240 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 20 + 7 + 622 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152520762195 and 152520762204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105113515 + ... + 105114965.

It is an arithmetic number, because the mean of its divisors is an integer number (666468000).

Almost surely, 2^152520762240 is an apocalyptic number.

152520762240 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 152520762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341231616000).

152520762240 is an abundant number, since it is smaller than the sum of its proper divisors (529942469760).

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

152520762240 is a wasteful number, since it uses less digits than its factorization.

152520762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 152520762240 its reverse (42267025251), we get a palindrome (194787787491).

The spelling of 152520762240 in words is "one hundred fifty-two billion, five hundred twenty million, seven hundred sixty-two thousand, two hundred forty".