148952724100 has 72 divisors (see below), whose sum is σ = 334901955528. Its totient is φ = 57457612800.

The previous prime is 148952724097. The next prime is 148952724113. The reversal of 148952724100 is 1427259841.

It can be written as a sum of positive squares in 12 ways, for example, as 82057039936 + 66895684164 = 286456^2 + 258642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239970 + ... + 596230.

It is an arithmetic number, because the mean of its divisors is an integer number (4651416049).

Almost surely, 2^148952724100 is an apocalyptic number.

148952724100 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 148952724100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167450977764).

148952724100 is an abundant number, since it is smaller than the sum of its proper divisors (185949231428).

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

148952724100 is a wasteful number, since it uses less digits than its factorization.

148952724100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356425 (or 356418 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 148952724100 in words is "one hundred forty-eight billion, nine hundred fifty-two million, seven hundred twenty-four thousand, one hundred".