149380167600 has 360 divisors, whose sum is σ = 539330605632. Its totient is φ = 39705811200.

The previous prime is 149380167581. The next prime is 149380167623. The reversal of 149380167600 is 6761083941.

It is a happy number.

149380167600 is a `hidden beast` number, since 1 + 4 + 9 + 38 + 0 + 1 + 6 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-6 number, since 6×149380167600⁶ (a number of 68 digits) contains 666666 as substring.

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 71 ways as a sum of consecutive naturals, for example, 32170879 + ... + 32175521.

Almost surely, 2^149380167600 is an apocalyptic number.

149380167600 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 149380167600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269665302816).

149380167600 is an abundant number, since it is smaller than the sum of its proper divisors (389950438032).

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

149380167600 is a wasteful number, since it uses less digits than its factorization.

149380167600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 149380167600 in words is "one hundred forty-nine billion, three hundred eighty million, one hundred sixty-seven thousand, six hundred".