152381120000000 has 416 divisors, whose sum is σ = 393218187108864. Its totient is φ = 58982400000000.

The previous prime is 152381119999991. The next prime is 152381120000003. The reversal of 152381120000000 is 21183251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152381120000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9919992320 + ... + 9920007680.

It is an arithmetic number, because the mean of its divisors is an integer number (945236026704).

Almost surely, 2^{152381120000000} is an apocalyptic number.

152381120000000 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 152381120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196609093554432).

152381120000000 is an abundant number, since it is smaller than the sum of its proper divisors (240837067108864).

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

152381120000000 is an frugal number, since it uses more digits than its factorization.

152381120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15451 (or 15399 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 152381120000000 its reverse (21183251), we get a palindrome (152381141183251).

The spelling of 152381120000000 in words is "one hundred fifty-two trillion, three hundred eighty-one billion, one hundred twenty million", and thus it is an aban number.