148799001600 has 594 divisors, whose sum is σ = 562601512590. Its totient is φ = 37570314240.

The previous prime is 148799001587. The next prime is 148799001691. The reversal of 148799001600 is 6100997841.

It is a happy number.

148799001600 is a `hidden beast` number, since 1 + 487 + 9 + 9 + 0 + 0 + 160 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37381902336 + 111417099264 = 193344^2 + 333792^2 .

It is a super-2 number, since 2×148799001600² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 53 ways as a sum of consecutive naturals, for example, 83173506 + ... + 83175294.

Almost surely, 2^148799001600 is an apocalyptic number.

148799001600 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 148799001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281300756295).

148799001600 is an abundant number, since it is smaller than the sum of its proper divisors (413802510990).

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

148799001600 is a wasteful number, since it uses less digits than its factorization.

148799001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 148799001600 in words is "one hundred forty-eight billion, seven hundred ninety-nine million, one thousand, six hundred".