148946511212900 has 72 divisors (see below), whose sum is σ = 335632774601544. Its totient is φ = 57329228390400.

The previous prime is 148946511212899. The next prime is 148946511212951. The reversal of 148946511212900 is 9212115649841.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 46611315253504 + 102335195959396 = 6827248^2 + 10116086^2 .

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, 248525477 + ... + 249124076.

Almost surely, 2^{148946511212900} is an apocalyptic number.

148946511212900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148946511212900 is an abundant number, since it is smaller than the sum of its proper divisors (186686263388644).

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

148946511212900 is a wasteful number, since it uses less digits than its factorization.

148946511212900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497649681 (or 497649674 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 53.

The spelling of 148946511212900 in words is "one hundred forty-eight trillion, nine hundred forty-six billion, five hundred eleven million, two hundred twelve thousand, nine hundred".