148461393169152 has 576 divisors, whose sum is σ = 510349036037120. Its totient is φ = 42216274759680.

The previous prime is 148461393169129. The next prime is 148461393169157. The reversal of 148461393169152 is 251961393164841.

148461393169152 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 613 + 9 + 3 + 1 + 6 + 9 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 148461393169152.

It is not an unprimeable number, because it can be changed into a prime (148461393169157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826841178 + ... + 827020710.

Almost surely, 2^{148461393169152} is an apocalyptic number.

148461393169152 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 148461393169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255174518018560).

148461393169152 is an abundant number, since it is smaller than the sum of its proper divisors (361887642867968).

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

148461393169152 is an frugal number, since it uses more digits than its factorization.

148461393169152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179788 (or 179756 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 148461393169152 in words is "one hundred forty-eight trillion, four hundred sixty-one billion, three hundred ninety-three million, one hundred sixty-nine thousand, one hundred fifty-two".