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149460066756 = 22337211132331277
BaseRepresentation
bin1000101100110010000…
…0111010000111000100
3112021210010111001201000
42023030200322013010
54422043234114011
6152354435533300
713540521414600
oct2131440720704
9467703431630
10149460066756
1158427347330
1224b71a5a230
131112b755030
14733bba2500
153d4b4c9356
hex22cc83a1c4

149460066756 has 1152 divisors, whose sum is σ = 572464005120. Its totient is φ = 33051110400.

The previous prime is 149460066737. The next prime is 149460066797. The reversal of 149460066756 is 657660064941.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 539566890 + ... + 539567166.

It is an arithmetic number, because the mean of its divisors is an integer number (496930560).

Almost surely, 2149460066756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149460066756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286232002560).

149460066756 is an abundant number, since it is smaller than the sum of its proper divisors (423003938364).

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

149460066756 is a wasteful number, since it uses less digits than its factorization.

149460066756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 149460066756 in words is "one hundred forty-nine billion, four hundred sixty million, sixty-six thousand, seven hundred fifty-six".