151033766400 has 2400 divisors, whose sum is σ = 696234813120. Its totient is φ = 31850496000.

The previous prime is 151033766393. The next prime is 151033766447. The reversal of 151033766400 is 4667330151.

151033766400 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 3 + 3 + 7 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×151033766400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3683750380 + ... + 3683750420.

Almost surely, 2^151033766400 is an apocalyptic number.

151033766400 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 151033766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348117406560).

151033766400 is an abundant number, since it is smaller than the sum of its proper divisors (545201046720).

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

151033766400 is a wasteful number, since it uses less digits than its factorization.

151033766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 151033766400 in words is "one hundred fifty-one billion, thirty-three million, seven hundred sixty-six thousand, four hundred".