10155136320 has 1008 divisors, whose sum is σ = 44803039680. Its totient is φ = 2158313472.

The previous prime is 10155136309. The next prime is 10155136351. The reversal of 10155136320 is 2363155101.

10155136320 is a `hidden beast` number, since 1 + 0 + 15 + 5 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122350999 + ... + 122351081.

It is an arithmetic number, because the mean of its divisors is an integer number (44447460).

Almost surely, 2^10155136320 is an apocalyptic number.

10155136320 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 10155136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22401519840).

10155136320 is an abundant number, since it is smaller than the sum of its proper divisors (34647903360).

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

10155136320 is a wasteful number, since it uses less digits than its factorization.

10155136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10155136320 in words is "ten billion, one hundred fifty-five million, one hundred thirty-six thousand, three hundred twenty".