146169687040 has 352 divisors, whose sum is σ = 389359051200. Its totient is φ = 52319748096.

The previous prime is 146169687023. The next prime is 146169687043. The reversal of 146169687040 is 40786961641.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (146169687043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325544736 + ... + 325545184.

Almost surely, 2^146169687040 is an apocalyptic number.

146169687040 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 146169687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194679525600).

146169687040 is an abundant number, since it is smaller than the sum of its proper divisors (243189364160).

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

146169687040 is a wasteful number, since it uses less digits than its factorization.

146169687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 146169687040 in words is "one hundred forty-six billion, one hundred sixty-nine million, six hundred eighty-seven thousand, forty".