148253736189312 has 1152 divisors, whose sum is σ = 506439447958080. Its totient is φ = 41235669319680.

The previous prime is 148253736189287. The next prime is 148253736189319. The reversal of 148253736189312 is 213981637352841.

148253736189312 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 5 + 3 + 7 + 3 + 618 + 9 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 148253736189312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148253736189319) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33518816733 + ... + 33518821155.

Almost surely, 2^{148253736189312} is an apocalyptic number.

148253736189312 is a gapful number since it is divisible by the number (12) 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 148253736189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253219723979040).

148253736189312 is an abundant number, since it is smaller than the sum of its proper divisors (358185711768768).

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

148253736189312 is a wasteful number, since it uses less digits than its factorization.

148253736189312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4626 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 148253736189312 in words is "one hundred forty-eight trillion, two hundred fifty-three billion, seven hundred thirty-six million, one hundred eighty-nine thousand, three hundred twelve".