154746900 has 486 divisors, whose sum is σ = 641580030. Its totient is φ = 31046400.

The previous prime is 154746877. The next prime is 154746901. The reversal of 154746900 is 9647451.

It can be written as a sum of positive squares in 3 ways, for example, as 10458756 + 144288144 = 3234^2 + 12012^2 .

It is a super-2 number, since 2×154746900² = 47893206119220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154746901) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 5336086 + ... + 5336114.

Almost surely, 2^154746900 is an apocalyptic number.

154746900 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 154746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320790015).

154746900 is an abundant number, since it is smaller than the sum of its proper divisors (486833130).

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

154746900 is a wasteful number, since it uses less digits than its factorization.

154746900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 154746900 is about 12439.7307044807. The cubic root of 154746900 is about 536.8759947950.

The spelling of 154746900 in words is "one hundred fifty-four million, seven hundred forty-six thousand, nine hundred".