146761698727540 has 192 divisors, whose sum is σ = 351767511099648. Its totient is φ = 50952571084800.

The previous prime is 146761698727481. The next prime is 146761698727543. The reversal of 146761698727540 is 45727896167641.

146761698727540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146761698727543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33684115042 + ... + 33684119398.

It is an arithmetic number, because the mean of its divisors is an integer number (1832122453644).

Almost surely, 2^{146761698727540} is an apocalyptic number.

146761698727540 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 146761698727540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175883755549824).

146761698727540 is an abundant number, since it is smaller than the sum of its proper divisors (205005812372108).

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

146761698727540 is a wasteful number, since it uses less digits than its factorization.

146761698727540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 73.

The spelling of 146761698727540 in words is "one hundred forty-six trillion, seven hundred sixty-one billion, six hundred ninety-eight million, seven hundred twenty-seven thousand, five hundred forty".