146540383092 has 288 divisors, whose sum is σ = 415637913600. Its totient is φ = 45012464640.

The previous prime is 146540383081. The next prime is 146540383097. The reversal of 146540383092 is 290383045641.

146540383092 is a `hidden beast` number, since 1 + 46 + 540 + 38 + 30 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146540383097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244641409 + ... + 244642007.

It is an arithmetic number, because the mean of its divisors is an integer number (1443187200).

Almost surely, 2^146540383092 is an apocalyptic number.

146540383092 is a gapful number since it is divisible by the number (12) 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 146540383092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207818956800).

146540383092 is an abundant number, since it is smaller than the sum of its proper divisors (269097530508).

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

146540383092 is a wasteful number, since it uses less digits than its factorization.

146540383092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 146540383092 in words is "one hundred forty-six billion, five hundred forty million, three hundred eighty-three thousand, ninety-two".