151009689600 has 1836 divisors, whose sum is σ = 722599665840. Its totient is φ = 29727129600.

The previous prime is 151009689569. The next prime is 151009689613. The reversal of 151009689600 is 6986900151.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7947878391 + ... + 7947878409.

Almost surely, 2^151009689600 is an apocalyptic number.

151009689600 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 151009689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361299832920).

151009689600 is an abundant number, since it is smaller than the sum of its proper divisors (571589976240).

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

151009689600 is a wasteful number, since it uses less digits than its factorization.

151009689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 151009689600 in words is "one hundred fifty-one billion, nine million, six hundred eighty-nine thousand, six hundred".