53154000 has 120 divisors (see below), whose sum is σ = 185712072. Its totient is φ = 14169600.

The previous prime is 53153987. The next prime is 53154029. The reversal of 53154000 is 45135.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 53056656 = 312^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16524 + ... + 19476.

Almost surely, 2^53154000 is an apocalyptic number.

53154000 is a gapful number since it is divisible by the number (50) 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 53154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92856036).

53154000 is an abundant number, since it is smaller than the sum of its proper divisors (132558072).

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

53154000 is a wasteful number, since it uses less digits than its factorization.

53154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 53154000 is about 7290.6789807260. The cubic root of 53154000 is about 375.9920399703.

Adding to 53154000 its reverse (45135), we get a palindrome (53199135).

The spelling of 53154000 in words is "fifty-three million, one hundred fifty-four thousand".