148057761196800 has 8748 divisors, whose sum is σ = 767898184730040. Its totient is φ = 26955074764800.

The previous prime is 148057761196739. The next prime is 148057761196837. The reversal of 148057761196800 is 8691167750841.

148057761196800 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 5 + 7 + 7 + 611 + 9 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×148057761196800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 971 ways as a sum of consecutive naturals, for example, 4776056812785 + ... + 4776056812815.

Almost surely, 2^{148057761196800} is an apocalyptic number.

148057761196800 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 148057761196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383949092365020).

148057761196800 is an abundant number, since it is smaller than the sum of its proper divisors (619840423533240).

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

148057761196800 is a wasteful number, since it uses less digits than its factorization.

148057761196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 148057761196800 in words is "one hundred forty-eight trillion, fifty-seven billion, seven hundred sixty-one million, one hundred ninety-six thousand, eight hundred".