152335240500000 has 672 divisors, whose sum is σ = 530226806760000. Its totient is φ = 38162329600000.

The previous prime is 152335240499977. The next prime is 152335240500013. The reversal of 152335240500000 is 5042533251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14509494751 + ... + 14509505249.

It is an arithmetic number, because the mean of its divisors is an integer number (789027986250).

Almost surely, 2^{152335240500000} is an apocalyptic number.

152335240500000 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 152335240500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265113403380000).

152335240500000 is an abundant number, since it is smaller than the sum of its proper divisors (377891566260000).

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

152335240500000 is an equidigital number, since it uses as much as digits as its factorization.

152335240500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 152335240500000 in words is "one hundred fifty-two trillion, three hundred thirty-five billion, two hundred forty million, five hundred thousand".