146693257308 has 144 divisors (see below), whose sum is σ = 415025170560. Its totient is φ = 45037923264.

The previous prime is 146693257297. The next prime is 146693257313. The reversal of 146693257308 is 803752396641.

146693257308 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 9 + 325 + 7 + 308 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 5888583 + ... + 5913441.

It is an arithmetic number, because the mean of its divisors is an integer number (2882119240).

It is a 1-persistent number, because it is pandigital, but 2⋅146693257308 = 293386514616 is not.

Almost surely, 2^146693257308 is an apocalyptic number.

146693257308 is a gapful number since it is divisible by the number (18) 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 146693257308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207512585280).

146693257308 is an abundant number, since it is smaller than the sum of its proper divisors (268331913252).

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

146693257308 is a wasteful number, since it uses less digits than its factorization.

146693257308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25358 (or 25344 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 146693257308 in words is "one hundred forty-six billion, six hundred ninety-three million, two hundred fifty-seven thousand, three hundred eight".