152101435200 has 1344 divisors, whose sum is σ = 618894888192. Its totient is φ = 32204390400.

The previous prime is 152101435177. The next prime is 152101435219. The reversal of 152101435200 is 2534101251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1346030344 + ... + 1346030456.

It is an arithmetic number, because the mean of its divisors is an integer number (460487268).

Almost surely, 2^152101435200 is an apocalyptic number.

152101435200 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 152101435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309447444096).

152101435200 is an abundant number, since it is smaller than the sum of its proper divisors (466793452992).

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

152101435200 is a wasteful number, since it uses less digits than its factorization.

152101435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 152101435200 its reverse (2534101251), we get a palindrome (154635536451).

The spelling of 152101435200 in words is "one hundred fifty-two billion, one hundred one million, four hundred thirty-five thousand, two hundred".