1138151616160 has 144 divisors (see below), whose sum is σ = 3056150099016. Its totient is φ = 398122407936.

The previous prime is 1138151616149. The next prime is 1138151616187. The reversal of 1138151616160 is 616161518311.

It can be written as a sum of positive squares in 4 ways, for example, as 751571092624 + 386580523536 = 866932^2 + 621756^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6999 + ... + 1508758.

Almost surely, 2^{1138151616160} is an apocalyptic number.

1138151616160 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 1138151616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528075049508).

1138151616160 is an abundant number, since it is smaller than the sum of its proper divisors (1917998482856).

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

1138151616160 is a wasteful number, since it uses less digits than its factorization.

1138151616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515823 (or 1515796 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 1138151616160 in words is "one trillion, one hundred thirty-eight billion, one hundred fifty-one million, six hundred sixteen thousand, one hundred sixty".