154983942400 has 729 divisors, whose sum is σ = 484034728779. Its totient is φ = 48980090880.

The previous prime is 154983942361. The next prime is 154983942401. The reversal of 154983942400 is 4249389451.

It is a happy number.

The square root of 154983942400 is 393680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14712719616 + 140271222784 = 121296^2 + 374528^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (154983942401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4188755182 + ... + 4188755218.

Almost surely, 2^154983942400 is an apocalyptic number.

154983942400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

154983942400 is the 393680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154983942400

154983942400 is an abundant number, since it is smaller than the sum of its proper divisors (329050786379).

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

154983942400 is an equidigital number, since it uses as much as digits as its factorization.

154983942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 154983942400 by its sum of digits (49), we get a square (7594213177600 = 2755760²).

154983942400 divided by its sum of digits (49) gives a square (3162937600 = 56240²).

The spelling of 154983942400 in words is "one hundred fifty-four billion, nine hundred eighty-three million, nine hundred forty-two thousand, four hundred".