148141251440640 has 1664 divisors, whose sum is σ = 582105039667200. Its totient is φ = 35573925150720.

The previous prime is 148141251440603. The next prime is 148141251440653. The reversal of 148141251440640 is 46044152141841.

148141251440640 is a `hidden beast` number, since 1 + 4 + 8 + 141 + 2 + 5 + 1 + 440 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40354466005 + ... + 40354469675.

Almost surely, 2^{148141251440640} is an apocalyptic number.

148141251440640 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 148141251440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291052519833600).

148141251440640 is an abundant number, since it is smaller than the sum of its proper divisors (433963788226560).

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

148141251440640 is a wasteful number, since it uses less digits than its factorization.

148141251440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 148141251440640 in words is "one hundred forty-eight trillion, one hundred forty-one billion, two hundred fifty-one million, four hundred forty thousand, six hundred forty".