148649904000 has 1536 divisors, whose sum is σ = 634915532160. Its totient is φ = 34239283200.

The previous prime is 148649903981. The next prime is 148649904019. The reversal of 148649904000 is 409946841.

148649904000 is a `hidden beast` number, since 1 + 486 + 49 + 90 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148649903981) and next prime (148649904019).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 859247914 + ... + 859248086.

Almost surely, 2^148649904000 is an apocalyptic number.

148649904000 is a gapful number since it is divisible by the number (10) 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 148649904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317457766080).

148649904000 is an abundant number, since it is smaller than the sum of its proper divisors (486265628160).

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

148649904000 is a wasteful number, since it uses less digits than its factorization.

148649904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 148649904000 in words is "one hundred forty-eight billion, six hundred forty-nine million, nine hundred four thousand".