148040257600 has 63 divisors (see below), whose sum is σ = 364309432797. Its totient is φ = 59209946880.

The previous prime is 148040257553. The next prime is 148040257613. The reversal of 148040257600 is 6752040841.

The square root of 148040257600 is 384760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53294492736 + 94745764864 = 230856^2 + 307808^2 .

It is a super-3 number, since 3×148040257600³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 148040257600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15385591 + ... + 15395209.

Almost surely, 2^148040257600 is an apocalyptic number.

148040257600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148040257600 is the 384760-th square number.

It is an amenable number.

148040257600 is an abundant number, since it is smaller than the sum of its proper divisors (216269175197).

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

148040257600 is an frugal number, since it uses more digits than its factorization.

148040257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19260 (or 9626 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 148040257600 in words is "one hundred forty-eight billion, forty million, two hundred fifty-seven thousand, six hundred".