149957695708800 has 768 divisors, whose sum is σ = 578149996032000. Its totient is φ = 33450398760960.

The previous prime is 149957695708651. The next prime is 149957695708813. The reversal of 149957695708800 is 8807596759941.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1102213579 + ... + 1102349621.

It is an arithmetic number, because the mean of its divisors is an integer number (752799474000).

Almost surely, 2^{149957695708800} is an apocalyptic number.

149957695708800 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 149957695708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289074998016000).

149957695708800 is an abundant number, since it is smaller than the sum of its proper divisors (428192300323200).

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

149957695708800 is a wasteful number, since it uses less digits than its factorization.

149957695708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136473 (or 136456 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 78.

The spelling of 149957695708800 in words is "one hundred forty-nine trillion, nine hundred fifty-seven billion, six hundred ninety-five million, seven hundred eight thousand, eight hundred".