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156130048800 = 25335211657113
BaseRepresentation
bin1001000101101000010…
…0110111101100100000
3112220222222020020222000
42101122010313230200
510024223243030200
6155420344444000
714165022342435
oct2213204675440
9486888206860
10156130048800
116023a384590
1226313779600
131195257cc7b
1477b1973b8c
1540dbd55300
hex245a137b20

156130048800 has 288 divisors, whose sum is σ = 616004948160. Its totient is φ = 37849651200.

The previous prime is 156130048777. The next prime is 156130048831. The reversal of 156130048800 is 8840031651.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90957 + ... + 566156.

It is an arithmetic number, because the mean of its divisors is an integer number (2138906070).

Almost surely, 2156130048800 is an apocalyptic number.

156130048800 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 156130048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308002474080).

156130048800 is an abundant number, since it is smaller than the sum of its proper divisors (459874899360).

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

156130048800 is a wasteful number, since it uses less digits than its factorization.

156130048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657153 (or 657134 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 156130048800 in words is "one hundred fifty-six billion, one hundred thirty million, forty-eight thousand, eight hundred".