145137651579648 has 1728 divisors, whose sum is σ = 559304230797312. Its totient is φ = 36484484382720.

The previous prime is 145137651579637. The next prime is 145137651579649. The reversal of 145137651579648 is 846975156731541.

145137651579648 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 7 + 6 + 5 + 1 + 579 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (145137651579649) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 39971810793 + ... + 39971814423.

Almost surely, 2^{145137651579648} is an apocalyptic number.

145137651579648 is a gapful number since it is divisible by the number (18) 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 145137651579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279652115398656).

145137651579648 is an abundant number, since it is smaller than the sum of its proper divisors (414166579217664).

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

145137651579648 is a wasteful number, since it uses less digits than its factorization.

145137651579648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 3986 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 72.

The spelling of 145137651579648 in words is "one hundred forty-five trillion, one hundred thirty-seven billion, six hundred fifty-one million, five hundred seventy-nine thousand, six hundred forty-eight".