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158137452225 = 345288372
BaseRepresentation
bin1001001101000110111…
…0100000011011000001
3120010011212111220210000
42103101232200123001
510042331141432400
6200351454230213
714265536110524
oct2232156403301
9503155456700
10158137452225
116107a518485
1226793ab5369
1311bb241a04c
1479223d8bbb
1541a81cb600
hex24d1ba06c1

158137452225 has 45 divisors (see below), whose sum is σ = 292958377657. Its totient is φ = 84330430560.

The previous prime is 158137452217. The next prime is 158137452229. The reversal of 158137452225 is 522254731851.

The square root of 158137452225 is 397665.

It is a perfect power (a square), and thus also a powerful number.

158137452225 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 374 + 52 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53720577729 + 104416874496 = 231777^2 + 323136^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 158137452225 - 23 = 158137452217 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (158137452229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17890507 + ... + 17899343.

Almost surely, 2158137452225 is an apocalyptic number.

158137452225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

158137452225 is the 397665-th square number.

158137452225 is the 198833-rd centered octagonal number.

It is an amenable number.

158137452225 is a deficient number, since it is larger than the sum of its proper divisors (134820925432).

158137452225 is an frugal number, since it uses more digits than its factorization.

158137452225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17696 (or 8845 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 158137452225 in words is "one hundred fifty-eight billion, one hundred thirty-seven million, four hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 8837 26511 44185 79533 132555 220925 238599 397665 662775 715797 1192995 1988325 3578985 5964975 17894925 78092569 234277707 390462845 702833121 1171388535 1952314225 2108499363 3514165605 5856942675 6325498089 10542496815 17570828025 31627490445 52712484075 158137452225