152463412430120 has 256 divisors, whose sum is σ = 387425452032000. Its totient is φ = 53496725990400.

The previous prime is 152463412430093. The next prime is 152463412430137. The reversal of 152463412430120 is 21034214364251.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8513219726 + ... + 8513237634.

It is an arithmetic number, because the mean of its divisors is an integer number (1513380672000).

Almost surely, 2^{152463412430120} is an apocalyptic number.

152463412430120 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 152463412430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193712726016000).

152463412430120 is an abundant number, since it is smaller than the sum of its proper divisors (234962039601880).

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

152463412430120 is a wasteful number, since it uses less digits than its factorization.

152463412430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19744 (or 19740 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 152463412430120 its reverse (21034214364251), we get a palindrome (173497626794371).

The spelling of 152463412430120 in words is "one hundred fifty-two trillion, four hundred sixty-three billion, four hundred twelve million, four hundred thirty thousand, one hundred twenty".