154145637954 has 768 divisors, whose sum is σ = 478454169600. Its totient is φ = 36273484800.

The previous prime is 154145637949. The next prime is 154145637991. The reversal of 154145637954 is 459736541451.

154145637954 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 4 + 563 + 79 + 5 + 4 = 666.

154145637954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×154145637954² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 154145637954.

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 383 ways as a sum of consecutive naturals, for example, 1125150574 + ... + 1125150710.

It is an arithmetic number, because the mean of its divisors is an integer number (622987200).

Almost surely, 2^154145637954 is an apocalyptic number.

154145637954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 154145637954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239227084800).

154145637954 is an abundant number, since it is smaller than the sum of its proper divisors (324308531646).

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

154145637954 is a wasteful number, since it uses less digits than its factorization.

154145637954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 154145637954 in words is "one hundred fifty-four billion, one hundred forty-five million, six hundred thirty-seven thousand, nine hundred fifty-four".