151977600 has 192 divisors, whose sum is σ = 556512000. Its totient is φ = 40504320.

The previous prime is 151977577. The next prime is 151977607. The reversal of 151977600 is 6779151.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (151977607) 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 23 ways as a sum of consecutive naturals, for example, 85521 + ... + 87279.

It is an arithmetic number, because the mean of its divisors is an integer number (2898500).

Almost surely, 2^151977600 is an apocalyptic number.

151977600 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 151977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278256000).

151977600 is an abundant number, since it is smaller than the sum of its proper divisors (404534400).

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

151977600 is a wasteful number, since it uses less digits than its factorization.

151977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 151977600 is about 12327.9195325083. The cubic root of 151977600 is about 533.6541125806.

The spelling of 151977600 in words is "one hundred fifty-one million, nine hundred seventy-seven thousand, six hundred".