148638007296 has 171 divisors, whose sum is σ = 431115432943. Its totient is φ = 49348608000.

The previous prime is 148638007289. The next prime is 148638007337. The reversal of 148638007296 is 692700836841.

The square root of 148638007296 is 385536.

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

148638007296 is a `hidden beast` number, since 1 + 486 + 3 + 8 + 0 + 0 + 72 + 96 = 666.

It is a Duffinian number.

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, 592183171 + ... + 592183421.

Almost surely, 2^148638007296 is an apocalyptic number.

148638007296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

148638007296 is the 385536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148638007296

148638007296 is an abundant number, since it is smaller than the sum of its proper divisors (282477425647).

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

148638007296 is an frugal number, since it uses more digits than its factorization.

148638007296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 148638007296 in words is "one hundred forty-eight billion, six hundred thirty-eight million, seven thousand, two hundred ninety-six".