152398401792 has 288 divisors, whose sum is σ = 499890843648. Its totient is φ = 40137596928.

The previous prime is 152398401791. The next prime is 152398401811. The reversal of 152398401792 is 297104893251.

It is a super-2 number, since 2×152398401792² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152398401791) 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, 85472133 + ... + 85473915.

It is an arithmetic number, because the mean of its divisors is an integer number (1735732096).

Almost surely, 2^152398401792 is an apocalyptic number.

152398401792 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 152398401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249945421824).

152398401792 is an abundant number, since it is smaller than the sum of its proper divisors (347492441856).

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

152398401792 is a wasteful number, since it uses less digits than its factorization.

152398401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 152398401792 in words is "one hundred fifty-two billion, three hundred ninety-eight million, four hundred one thousand, seven hundred ninety-two".