152198837280 has 864 divisors, whose sum is σ = 642522404160. Its totient is φ = 32618557440.

The previous prime is 152198837237. The next prime is 152198837321. The reversal of 152198837280 is 82738891251.

152198837280 is a `hidden beast` number, since 1 + 5 + 2 + 198 + 8 + 372 + 80 = 666.

It is a super-3 number, since 3×152198837280³ (a number of 35 digits) contains 333 as substring.

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, 143447950 + ... + 143449010.

It is an arithmetic number, because the mean of its divisors is an integer number (743660190).

Almost surely, 2^152198837280 is an apocalyptic number.

152198837280 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 152198837280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321261202080).

152198837280 is an abundant number, since it is smaller than the sum of its proper divisors (490323566880).

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

152198837280 is a wasteful number, since it uses less digits than its factorization.

152198837280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 152198837280 in words is "one hundred fifty-two billion, one hundred ninety-eight million, eight hundred thirty-seven thousand, two hundred eighty".