148142131200 has 1188 divisors, whose sum is σ = 640902270645. Its totient is φ = 33861058560.

The previous prime is 148142131183. The next prime is 148142131223. The reversal of 148142131200 is 2131241841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

148142131200 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 421 + 31 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145179288576 + 2962842624 = 381024^2 + 54432^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=272160.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 21163161597 + ... + 21163161603.

Almost surely, 2^148142131200 is an apocalyptic number.

148142131200 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 148142131200

148142131200 is an abundant number, since it is smaller than the sum of its proper divisors (492760139445).

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

148142131200 is an frugal number, since it uses more digits than its factorization.

148142131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 148142131200 in words is "one hundred forty-eight billion, one hundred forty-two million, one hundred thirty-one thousand, two hundred".