152802067140 has 192 divisors, whose sum is σ = 516547584000. Its totient is φ = 37357303680.

The previous prime is 152802067111. The next prime is 152802067153. The reversal of 152802067140 is 41760208251.

152802067140 is a `hidden beast` number, since 1 + 528 + 0 + 20 + 6 + 71 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152802067095 and 152802067104.

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 63 ways as a sum of consecutive naturals, for example, 77851 + ... + 558269.

It is an arithmetic number, because the mean of its divisors is an integer number (2690352000).

Almost surely, 2^152802067140 is an apocalyptic number.

152802067140 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 152802067140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258273792000).

152802067140 is an abundant number, since it is smaller than the sum of its proper divisors (363745516860).

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

152802067140 is a wasteful number, since it uses less digits than its factorization.

152802067140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480487 (or 480479 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 152802067140 in words is "one hundred fifty-two billion, eight hundred two million, sixty-seven thousand, one hundred forty".