151906163097600 has 2736 divisors, whose sum is σ = 620191826182656. Its totient is φ = 36691771392000.

The previous prime is 151906163097589. The next prime is 151906163097713. The reversal of 151906163097600 is 6790361609151.

It is a happy number.

151906163097600 is a `hidden beast` number, since 1 + 5 + 19 + 0 + 6 + 16 + 3 + 0 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 839260569510 + ... + 839260569690.

Almost surely, 2^{151906163097600} is an apocalyptic number.

151906163097600 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 151906163097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310095913091328).

151906163097600 is an abundant number, since it is smaller than the sum of its proper divisors (468285663085056).

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

151906163097600 is an frugal number, since it uses more digits than its factorization.

151906163097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 151906163097600 in words is "one hundred fifty-one trillion, nine hundred six billion, one hundred sixty-three million, ninety-seven thousand, six hundred".