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149091425280 = 2103557171953
BaseRepresentation
bin1000101011011010001…
…0101001110000000000
3112020211102211010200000
42022312202221300000
54420314401102110
6152254110400000
713525424130240
oct2126642516000
9466742733600
10149091425280
115825824a556
1224a8a500000
13110a0272b95
147304c41b20
153d28e5c1c0
hex22b68a9c00

149091425280 has 2112 divisors, whose sum is σ = 695275176960. Its totient is φ = 29812064256.

The previous prime is 149091425213. The next prime is 149091425359. The reversal of 149091425280 is 82524190941.

It is a happy number.

149091425280 is a `hidden beast` number, since 149 + 0 + 9 + 1 + 425 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2813045734 + ... + 2813045786.

Almost surely, 2149091425280 is an apocalyptic number.

149091425280 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 149091425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347637588480).

149091425280 is an abundant number, since it is smaller than the sum of its proper divisors (546183751680).

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

149091425280 is a wasteful number, since it uses less digits than its factorization.

149091425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 149091425280 in words is "one hundred forty-nine billion, ninety-one million, four hundred twenty-five thousand, two hundred eighty".