148337540772100 has 81 divisors (see below), whose sum is σ = 322479999061311. Its totient is φ = 59226912043200.

The previous prime is 148337540772023. The next prime is 148337540772103. The reversal of 148337540772100 is 1277045733841.

The square root of 148337540772100 is 12179390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37824295821316 + 110513244950784 = 6150146^2 + 10512528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148337540772103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120697754286 + ... + 120697755514.

Almost surely, 2^{148337540772100} is an apocalyptic number.

148337540772100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148337540772100 is the 12179390-th square number.

It is an amenable number.

148337540772100 is an abundant number, since it is smaller than the sum of its proper divisors (174142458289211).

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

148337540772100 is an frugal number, since it uses more digits than its factorization.

148337540772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 148337540772100 in words is "one hundred forty-eight trillion, three hundred thirty-seven billion, five hundred forty million, seven hundred seventy-two thousand, one hundred".