154293740640 has 576 divisors, whose sum is σ = 591570749952. Its totient is φ = 36362649600.

The previous prime is 154293740639. The next prime is 154293740659. The reversal of 154293740640 is 46047392451.

154293740640 is a `hidden beast` number, since 1 + 542 + 9 + 3 + 7 + 40 + 64 + 0 = 666.

154293740640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56289670 + ... + 56292410.

It is an arithmetic number, because the mean of its divisors is an integer number (1027032552).

Almost surely, 2^154293740640 is an apocalyptic number.

154293740640 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 154293740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295785374976).

154293740640 is an abundant number, since it is smaller than the sum of its proper divisors (437277009312).

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

154293740640 is a wasteful number, since it uses less digits than its factorization.

154293740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 154293740640 in words is "one hundred fifty-four billion, two hundred ninety-three million, seven hundred forty thousand, six hundred forty".