75431136144 has 240 divisors, whose sum is σ = 241644728192. Its totient is φ = 19744653312.

The previous prime is 75431136139. The next prime is 75431136149. The reversal of 75431136144 is 44163113457.

It is an interprime number because it is at equal distance from previous prime (75431136139) and next prime (75431136149).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (75431136149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130729584 + ... + 130730160.

Almost surely, 2^75431136144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75431136144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120822364096).

75431136144 is an abundant number, since it is smaller than the sum of its proper divisors (166213592048).

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

75431136144 is a wasteful number, since it uses less digits than its factorization.

75431136144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 775 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

It can be divided in two parts, 75431 and 136144, that added together give a triangular number (211575 = T₆₅₀).

The spelling of 75431136144 in words is "seventy-five billion, four hundred thirty-one million, one hundred thirty-six thousand, one hundred forty-four".