146747414640240 has 640 divisors, whose sum is σ = 556011098726400. Its totient is φ = 35877101644800.

The previous prime is 146747414640227. The next prime is 146747414640317. The reversal of 146747414640240 is 42046414747641.

146747414640240 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 474 + 146 + 4 + 0 + 24 + 0 = 666.

146747414640240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102339430 + ... + 103763450.

It is an arithmetic number, because the mean of its divisors is an integer number (868767341760).

Almost surely, 2^{146747414640240} is an apocalyptic number.

146747414640240 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 146747414640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278005549363200).

146747414640240 is an abundant number, since it is smaller than the sum of its proper divisors (409263684086160).

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

146747414640240 is a wasteful number, since it uses less digits than its factorization.

146747414640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424105 (or 1424081 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 146747414640240 in words is "one hundred forty-six trillion, seven hundred forty-seven billion, four hundred fourteen million, six hundred forty thousand, two hundred forty".