145246706136 has 192 divisors, whose sum is σ = 452836500480. Its totient is φ = 41198976000.

The previous prime is 145246706107. The next prime is 145246706159. The reversal of 145246706136 is 631607642541.

145246706136 is a `hidden beast` number, since 1 + 4 + 5 + 24 + 6 + 7 + 0 + 613 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145246706091 and 145246706100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42630145 + ... + 42633551.

It is an arithmetic number, because the mean of its divisors is an integer number (2358523440).

Almost surely, 2^145246706136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145246706136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226418250240).

145246706136 is an abundant number, since it is smaller than the sum of its proper divisors (307589794344).

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

145246706136 is a wasteful number, since it uses less digits than its factorization.

145246706136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 145246706136 in words is "one hundred forty-five billion, two hundred forty-six million, seven hundred six thousand, one hundred thirty-six".