148147045632 has 864 divisors, whose sum is σ = 505424949120. Its totient is φ = 42998169600.

The previous prime is 148147045621. The next prime is 148147045663. The reversal of 148147045632 is 236540741841.

148147045632 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 4 + 7 + 0 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1466802382 + ... + 1466802482.

It is an arithmetic number, because the mean of its divisors is an integer number (584982580).

Almost surely, 2^148147045632 is an apocalyptic number.

148147045632 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 148147045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252712474560).

148147045632 is an abundant number, since it is smaller than the sum of its proper divisors (357277903488).

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

148147045632 is a wasteful number, since it uses less digits than its factorization.

148147045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 148147045632 in words is "one hundred forty-eight billion, one hundred forty-seven million, forty-five thousand, six hundred thirty-two".