152085038784 has 224 divisors, whose sum is σ = 494200281600. Its totient is φ = 40286011392.

The previous prime is 152085038731. The next prime is 152085038797. The reversal of 152085038784 is 487830580251.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481142 + ... + 1580490.

Almost surely, 2^152085038784 is an apocalyptic number.

152085038784 is a gapful number since it is divisible by the number (14) 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 152085038784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247100140800).

152085038784 is an abundant number, since it is smaller than the sum of its proper divisors (342115242816).

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

152085038784 is a wasteful number, since it uses less digits than its factorization.

152085038784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99455 (or 99445 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 152085038784 in words is "one hundred fifty-two billion, eighty-five million, thirty-eight thousand, seven hundred eighty-four".