148002801408 has 648 divisors, whose sum is σ = 540713628000. Its totient is φ = 38109265920.

The previous prime is 148002801383. The next prime is 148002801409. The reversal of 148002801408 is 804108200841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148002801409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290771458 + ... + 290771966.

Almost surely, 2^148002801408 is an apocalyptic number.

148002801408 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 148002801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270356814000).

148002801408 is an abundant number, since it is smaller than the sum of its proper divisors (392710826592).

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

148002801408 is a wasteful number, since it uses less digits than its factorization.

148002801408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 148002801408 in words is "one hundred forty-eight billion, two million, eight hundred one thousand, four hundred eight".