152916794112 has 144 divisors (see below), whose sum is σ = 434879232480. Its totient is φ = 47533326336.

The previous prime is 152916794101. The next prime is 152916794131. The reversal of 152916794112 is 211497619251.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1369378 + ... + 1476830.

It is an arithmetic number, because the mean of its divisors is an integer number (3019994670).

Almost surely, 2^152916794112 is an apocalyptic number.

152916794112 is a gapful number since it is divisible by the number (12) 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 152916794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217439616240).

152916794112 is an abundant number, since it is smaller than the sum of its proper divisors (281962438368).

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

152916794112 is a wasteful number, since it uses less digits than its factorization.

152916794112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107598 (or 107584 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The spelling of 152916794112 in words is "one hundred fifty-two billion, nine hundred sixteen million, seven hundred ninety-four thousand, one hundred twelve".