149342914560 has 768 divisors, whose sum is σ = 566092800000. Its totient is φ = 32909819904.

The previous prime is 149342914529. The next prime is 149342914613. The reversal of 149342914560 is 65419243941.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×149342914560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002301366 + ... + 1002301514.

It is an arithmetic number, because the mean of its divisors is an integer number (737100000).

Almost surely, 2^149342914560 is an apocalyptic number.

149342914560 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 149342914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400000).

149342914560 is an abundant number, since it is smaller than the sum of its proper divisors (416749885440).

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

149342914560 is a wasteful number, since it uses less digits than its factorization.

149342914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 149342914560 in words is "one hundred forty-nine billion, three hundred forty-two million, nine hundred fourteen thousand, five hundred sixty".