154640000 has 80 divisors (see below), whose sum is σ = 385165770. Its totient is φ = 61824000.

The previous prime is 154639999. The next prime is 154640009. The reversal of 154640000 is 46451.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 6190144 + 148449856 = 2488^2 + 12184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (154640009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79034 + ... + 80966.

Almost surely, 2^154640000 is an apocalyptic number.

154640000 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 154640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192582885).

154640000 is an abundant number, since it is smaller than the sum of its proper divisors (230525770).

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

154640000 is an frugal number, since it uses more digits than its factorization.

154640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 154640000 is about 12435.4332453679. The cubic root of 154640000 is about 536.7523406981.

Adding to 154640000 its reverse (46451), we get a palindrome (154686451).

The spelling of 154640000 in words is "one hundred fifty-four million, six hundred forty thousand".