152978601216 has 288 divisors, whose sum is σ = 497589136128. Its totient is φ = 40727347200.

The previous prime is 152978601211. The next prime is 152978601239. The reversal of 152978601216 is 612106879251.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152978601211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9222306 + ... + 9238878.

It is an arithmetic number, because the mean of its divisors is an integer number (1727740056).

Almost surely, 2^152978601216 is an apocalyptic number.

152978601216 is a gapful number since it is divisible by the number (16) 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 152978601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248794568064).

152978601216 is an abundant number, since it is smaller than the sum of its proper divisors (344610534912).

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

152978601216 is a wasteful number, since it uses less digits than its factorization.

152978601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16717 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 152978601216 in words is "one hundred fifty-two billion, nine hundred seventy-eight million, six hundred one thousand, two hundred sixteen".