146036736120 has 256 divisors, whose sum is σ = 487843430400. Its totient is φ = 34676328960.

The previous prime is 146036736119. The next prime is 146036736151. The reversal of 146036736120 is 21637630641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13238047 + ... + 13249073.

It is an arithmetic number, because the mean of its divisors is an integer number (1905638400).

Almost surely, 2^146036736120 is an apocalyptic number.

146036736120 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 146036736120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243921715200).

146036736120 is an abundant number, since it is smaller than the sum of its proper divisors (341806694280).

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

146036736120 is a wasteful number, since it uses less digits than its factorization.

146036736120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11258 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 146036736120 in words is "one hundred forty-six billion, thirty-six million, seven hundred thirty-six thousand, one hundred twenty".