148586153126464 has 63 divisors (see below), whose sum is σ = 295560401575881. Its totient is φ = 74114669694720.

The previous prime is 148586153126431. The next prime is 148586153126491. The reversal of 148586153126464 is 464621351685841.

The square root of 148586153126464 is 12189592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11088953280064 + 137497199846400 = 3330008^2 + 11725920^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 148586153126396 and 148586153126405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46710514954 + ... + 46710518134.

Almost surely, 2^{148586153126464} is an apocalyptic number.

148586153126464 is the 12189592-nd square number.

It is an amenable number.

148586153126464 is a deficient number, since it is larger than the sum of its proper divisors (146974248449417).

148586153126464 is an frugal number, since it uses more digits than its factorization.

148586153126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332 (or 3662 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 64.

148586153126464 divided by its sum of digits (64) gives a square (2321658642601 = 1523699²).

The spelling of 148586153126464 in words is "one hundred forty-eight trillion, five hundred eighty-six billion, one hundred fifty-three million, one hundred twenty-six thousand, four hundred sixty-four".