148529133248832 has 1568 divisors, whose sum is σ = 520301970929664. Its totient is φ = 41180825088000.

The previous prime is 148529133248827. The next prime is 148529133248857. The reversal of 148529133248832 is 238842331925841.

148529133248832 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 2 + 91 + 3 + 32 + 488 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 148529133248832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 536206257078 + ... + 536206257354.

Almost surely, 2^{148529133248832} is an apocalyptic number.

148529133248832 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 148529133248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260150985464832).

148529133248832 is an abundant number, since it is smaller than the sum of its proper divisors (371772837680832).

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

148529133248832 is a wasteful number, since it uses less digits than its factorization.

148529133248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 654 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 148529133248832 in words is "one hundred forty-eight trillion, five hundred twenty-nine billion, one hundred thirty-three million, two hundred forty-eight thousand, eight hundred thirty-two".