148907040768 has 672 divisors, whose sum is σ = 488522711040. Its totient is φ = 45148078080.

The previous prime is 148907040727. The next prime is 148907040797. The reversal of 148907040768 is 867040709841.

It is a happy number.

148907040768 is a `hidden beast` number, since 148 + 90 + 7 + 0 + 407 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172496321 + ... + 1172496447.

It is an arithmetic number, because the mean of its divisors is an integer number (726968320).

Almost surely, 2^148907040768 is an apocalyptic number.

148907040768 is a gapful number since it is divisible by the number (18) 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 148907040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244261355520).

148907040768 is an abundant number, since it is smaller than the sum of its proper divisors (339615670272).

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

148907040768 is an equidigital number, since it uses as much as digits as its factorization.

148907040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 148907040768 in words is "one hundred forty-eight billion, nine hundred seven million, forty thousand, seven hundred sixty-eight".