151095464100 has 405 divisors, whose sum is σ = 570682740243. Its totient is φ = 34480131840.

The previous prime is 151095464057. The next prime is 151095464101. The reversal of 151095464100 is 1464590151.

The square root of 151095464100 is 388710.

It is a perfect power (a square), and thus also a powerful number.

151095464100 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 9 + 5 + 4 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71151294564 + 79944169536 = 266742^2 + 282744^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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 (151095464101) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 244886992 + ... + 244887608.

Almost surely, 2^151095464100 is an apocalyptic number.

151095464100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151095464100 is the 388710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151095464100

151095464100 is an abundant number, since it is smaller than the sum of its proper divisors (419587276143).

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

151095464100 is an equidigital number, since it uses as much as digits as its factorization.

151095464100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 151095464100 by its sum of digits (36), we get a square (5439436707600 = 2332260²).

151095464100 divided by its sum of digits (36) gives a square (4197096225 = 64785²).

The spelling of 151095464100 in words is "one hundred fifty-one billion, ninety-five million, four hundred sixty-four thousand, one hundred".