151449600 has 312 divisors, whose sum is σ = 548469360. Its totient is φ = 36700160.

The previous prime is 151449593. The next prime is 151449607. The reversal of 151449600 is 6944151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151449593) and next prime (151449607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151449607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222386 + ... + 5222414.

Almost surely, 2^151449600 is an apocalyptic number.

151449600 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 151449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274234680).

151449600 is an abundant number, since it is smaller than the sum of its proper divisors (397019760).

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

151449600 is a wasteful number, since it uses less digits than its factorization.

151449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 151449600 is about 12306.4860947388. The cubic root of 151449600 is about 533.0353891414.

The spelling of 151449600 in words is "one hundred fifty-one million, four hundred forty-nine thousand, six hundred".