154148966400 has 1248 divisors, whose sum is σ = 624523777920. Its totient is φ = 33305395200.

The previous prime is 154148966383. The next prime is 154148966407. The reversal of 154148966400 is 4669841451.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 154148966400.

It is not an unprimeable number, because it can be changed into a prime (154148966407) 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 95 ways as a sum of consecutive naturals, for example, 5315481586 + ... + 5315481614.

Almost surely, 2^154148966400 is an apocalyptic number.

154148966400 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 154148966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312261888960).

154148966400 is an abundant number, since it is smaller than the sum of its proper divisors (470374811520).

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

154148966400 is a wasteful number, since it uses less digits than its factorization.

154148966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 154148966400 in words is "one hundred fifty-four billion, one hundred forty-eight million, nine hundred sixty-six thousand, four hundred".