148138772544 has 567 divisors, whose sum is σ = 518114652237. Its totient is φ = 40348578816.

The previous prime is 148138772539. The next prime is 148138772569. The reversal of 148138772544 is 445277831841.

The square root of 148138772544 is 384888.

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

148138772544 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 387 + 7 + 254 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77680378944 + 70458393600 = 278712^2 + 265440^2 .

Its product of digits (6021120) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1875174297 + ... + 1875174375.

Almost surely, 2^148138772544 is an apocalyptic number.

148138772544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

148138772544 is the 384888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148138772544

148138772544 is an abundant number, since it is smaller than the sum of its proper divisors (369975879693).

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

148138772544 is an equidigital number, since it uses as much as digits as its factorization.

148138772544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 120 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 148138772544 in words is "one hundred forty-eight billion, one hundred thirty-eight million, seven hundred seventy-two thousand, five hundred forty-four".