154014000 has 320 divisors, whose sum is σ = 600437760. Its totient is φ = 33177600.

The previous prime is 154013963. The next prime is 154014001. The reversal of 154014000 is 410451.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (154014001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797904 + ... + 798096.

It is an arithmetic number, because the mean of its divisors is an integer number (1876368).

Almost surely, 2^154014000 is an apocalyptic number.

154014000 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 154014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300218880).

154014000 is an abundant number, since it is smaller than the sum of its proper divisors (446423760).

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

154014000 is a wasteful number, since it uses less digits than its factorization.

154014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 154014000 is about 12410.2377092463. The cubic root of 154014000 is about 536.0270833571.

Adding to 154014000 its reverse (410451), we get a palindrome (154424451).

The spelling of 154014000 in words is "one hundred fifty-four million, fourteen thousand".