152110100400 has 240 divisors, whose sum is σ = 491860649856. Its totient is φ = 40181391360.

The previous prime is 152110100399. The next prime is 152110100407. The reversal of 152110100400 is 4001011251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 152110100400.

It is not an unprimeable number, because it can be changed into a prime (152110100407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69045699 + ... + 69047901.

Almost surely, 2^152110100400 is an apocalyptic number.

152110100400 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 152110100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245930324928).

152110100400 is an abundant number, since it is smaller than the sum of its proper divisors (339750549456).

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

152110100400 is a wasteful number, since it uses less digits than its factorization.

152110100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 152110100400 its reverse (4001011251), we get a palindrome (156111111651).

The spelling of 152110100400 in words is "one hundred fifty-two billion, one hundred ten million, one hundred thousand, four hundred".