154380038400 has 1512 divisors, whose sum is σ = 681487423680. Its totient is φ = 33861058560.

The previous prime is 154380038387. The next prime is 154380038411. The reversal of 154380038400 is 4830083451.

154380038400 is a `hidden beast` number, since 1 + 543 + 80 + 0 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 947116719 + ... + 947116881.

Almost surely, 2^154380038400 is an apocalyptic number.

154380038400 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 154380038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340743711840).

154380038400 is an abundant number, since it is smaller than the sum of its proper divisors (527107385280).

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

154380038400 is an equidigital number, since it uses as much as digits as its factorization.

154380038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 154380038400 in words is "one hundred fifty-four billion, three hundred eighty million, thirty-eight thousand, four hundred".