148147946987040 has 6048 divisors, whose sum is σ = 745020023215104. Its totient is φ = 27048536064000.

The previous prime is 148147946987021. The next prime is 148147946987069. The reversal of 148147946987040 is 40789649741841.

It is a happy number.

148147946987040 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 47 + 9 + 469 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 148147946987040.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 2428654868610 + ... + 2428654868670.

It is an arithmetic number, because the mean of its divisors is an integer number (123184527648).

Almost surely, 2^{148147946987040} is an apocalyptic number.

148147946987040 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 148147946987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372510011607552).

148147946987040 is an abundant number, since it is smaller than the sum of its proper divisors (596872076228064).

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

148147946987040 is a wasteful number, since it uses less digits than its factorization.

148147946987040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 148147946987040 in words is "one hundred forty-eight trillion, one hundred forty-seven billion, nine hundred forty-six million, nine hundred eighty-seven thousand, forty".