148835132565504 has 384 divisors, whose sum is σ = 495396866764800. Its totient is φ = 38604620759040.

The previous prime is 148835132565461. The next prime is 148835132565529. The reversal of 148835132565504 is 405565231538841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×148835132565504² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339931494 + ... + 340369050.

It is an arithmetic number, because the mean of its divisors is an integer number (1290096007200).

Almost surely, 2^{148835132565504} is an apocalyptic number.

148835132565504 is a gapful number since it is divisible by the number (14) 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 148835132565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247698433382400).

148835132565504 is an abundant number, since it is smaller than the sum of its proper divisors (346561734199296).

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

148835132565504 is a wasteful number, since it uses less digits than its factorization.

148835132565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438319 (or 438299 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 60.

The spelling of 148835132565504 in words is "one hundred forty-eight trillion, eight hundred thirty-five billion, one hundred thirty-two million, five hundred sixty-five thousand, five hundred four".