114530135102400 has 672 divisors, whose sum is σ = 392201334650880. Its totient is φ = 29242257408000.

The previous prime is 114530135102389. The next prime is 114530135102423. The reversal of 114530135102400 is 4201531035411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1642280332 + ... + 1642350068.

Almost surely, 2^{114530135102400} is an apocalyptic number.

114530135102400 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 114530135102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196100667325440).

114530135102400 is an abundant number, since it is smaller than the sum of its proper divisors (277671199548480).

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

114530135102400 is a wasteful number, since it uses less digits than its factorization.

114530135102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69973 (or 69958 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 114530135102400 its reverse (4201531035411), we get a palindrome (118731666137811).

The spelling of 114530135102400 in words is "one hundred fourteen trillion, five hundred thirty billion, one hundred thirty-five million, one hundred two thousand, four hundred".