152113201240000 has 2240 divisors, whose sum is σ = 540054647193600. Its totient is φ = 40920422400000.

The previous prime is 152113201239977. The next prime is 152113201240097. The reversal of 152113201240000 is 42102311251.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 60100038735 + ... + 60100041265.

It is an arithmetic number, because the mean of its divisors is an integer number (241095824640).

Almost surely, 2^{152113201240000} is an apocalyptic number.

152113201240000 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 152113201240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270027323596800).

152113201240000 is an abundant number, since it is smaller than the sum of its proper divisors (387941445953600).

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

152113201240000 is a wasteful number, since it uses less digits than its factorization.

152113201240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 152113201240000 its reverse (42102311251), we get a palindrome (152155303551251).

The spelling of 152113201240000 in words is "one hundred fifty-two trillion, one hundred thirteen billion, two hundred one million, two hundred forty thousand".