90149142400 has 96 divisors (see below), whose sum is σ = 223196094000. Its totient is φ = 35978772480.

The previous prime is 90149142389. The next prime is 90149142403. The reversal of 90149142400 is 424194109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90149142403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405429 + ... + 1468171.

Almost surely, 2^90149142400 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 90149142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111598047000).

90149142400 is an abundant number, since it is smaller than the sum of its proper divisors (133046951600).

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

90149142400 is a wasteful number, since it uses less digits than its factorization.

90149142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63216 (or 63199 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 90149142400 in words is "ninety billion, one hundred forty-nine million, one hundred forty-two thousand, four hundred".