90754143120 has 280 divisors, whose sum is σ = 320709100536. Its totient is φ = 23868463104.

The previous prime is 90754143101. The next prime is 90754143133. The reversal of 90754143120 is 2134145709.

90754143120 is a `hidden beast` number, since 90 + 7 + 541 + 4 + 3 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41400854784 + 49353288336 = 203472^2 + 222156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4246702 + ... + 4268018.

Almost surely, 2^90754143120 is an apocalyptic number.

90754143120 is a gapful number since it is divisible by the number (90) 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 90754143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160354550268).

90754143120 is an abundant number, since it is smaller than the sum of its proper divisors (229954957416).

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

90754143120 is a wasteful number, since it uses less digits than its factorization.

90754143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21421 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 90754143120 its reverse (2134145709), we get a palindrome (92888288829).

The spelling of 90754143120 in words is "ninety billion, seven hundred fifty-four million, one hundred forty-three thousand, one hundred twenty".