146385713592975 has 48 divisors (see below), whose sum is σ = 243462616886304. Its totient is φ = 77609753088000.

The previous prime is 146385713592973. The next prime is 146385713593033. The reversal of 146385713592975 is 579295317583641.

It is not a de Polignac number, because 146385713592975 - 2¹ = 146385713592973 is a prime.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a junction number, because it is equal to n+sod(n) for n = 146385713592897 and 146385713592906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146385713592973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623239 + ... + 17121911.

It is an arithmetic number, because the mean of its divisors is an integer number (5072137851798).

Almost surely, 2^{146385713592975} is an apocalyptic number.

146385713592975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146385713592975 is a deficient number, since it is larger than the sum of its proper divisors (97076903293329).

146385713592975 is a wasteful number, since it uses less digits than its factorization.

146385713592975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16499388 (or 16499383 counting only the distinct ones).

The product of its digits is 1714608000, while the sum is 75.

The spelling of 146385713592975 in words is "one hundred forty-six trillion, three hundred eighty-five billion, seven hundred thirteen million, five hundred ninety-two thousand, nine hundred seventy-five".