151993800 has 192 divisors, whose sum is σ = 598473600. Its totient is φ = 34732800.

The previous prime is 151993799. The next prime is 151993823. The reversal of 151993800 is 8399151.

It is a happy number.

151993800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35790 + ... + 39810.

It is an arithmetic number, because the mean of its divisors is an integer number (3117050).

Almost surely, 2^151993800 is an apocalyptic number.

151993800 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 151993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299236800).

151993800 is an abundant number, since it is smaller than the sum of its proper divisors (446479800).

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

151993800 is a wasteful number, since it uses less digits than its factorization.

151993800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 151993800 is about 12328.5765601711. The cubic root of 151993800 is about 533.6730734658.

The spelling of 151993800 in words is "one hundred fifty-one million, nine hundred ninety-three thousand, eight hundred".