1354500144 has 200 divisors, whose sum is σ = 4118778048. Its totient is φ = 429235200.

The previous prime is 1354500113. The next prime is 1354500197. The reversal of 1354500144 is 4410054531.

1354500144 = 422² + 423² + ... + 1605².

It is a happy number.

1354500144 is a `hidden beast` number, since 13 + 5 + 4 + 500 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2253444 + ... + 2254044.

Almost surely, 2^1354500144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354500144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059389024).

1354500144 is an abundant number, since it is smaller than the sum of its proper divisors (2764277904).

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

1354500144 is a wasteful number, since it uses less digits than its factorization.

1354500144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1354500144 is about 36803.5343954898. The cubic root of 1354500144 is about 1106.4361373660.

Adding to 1354500144 its reverse (4410054531), we get a palindrome (5764554675).

The spelling of 1354500144 in words is "one billion, three hundred fifty-four million, five hundred thousand, one hundred forty-four".